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  1. A c*-algebraic framework for quantum groups
    2003/09/20 by T. Masuda, Tetsuya Masuda, Yoshiomi Nakagami +5 · 2 citations
    Mathematics · #20G42 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:20G42
  2. Transformations of elliptic hypergometric integrals
    2003/09/16 by Eric M. Rains, Rains, Eric M. · 4 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Mathematical functions and polynomials #Nonlinear Waves and Solitons #math.CA #math.CO #math.QA
  3. Measurable Categories
    2003/09/10 by D. N. Yetter, David N. Yetter, Yetter, D. N. · 1 citation
    Mathematics · #18B99 #49M99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.CT #math.QA #msc:18B99 #msc:49M99
  4. Cluster algebras and Weil-Petersson forms
    2003/09/08 by Michael Gekhtman, Gekhtman, Michael, Michael Shapiro +3 · 3 citations
    Mathematics · #11E39 #14H05 #70H15 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:11E39 #msc:14H05 #msc:70H15
  5. Young Wall Realization of Crystal Bases for Classical Lie Algebras
    2003/09/05 by Seok-Jin Kang, Seok‐Jin Kang, Jeong-Ah Kim +6 · 1 citation
    Mathematics · Physics and Astronomy · #17B10 #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B10 #msc:17B37
  6. Representation rings of quantum groups
    2003/08/29 by M. Domokos, T. H. Lenagan, Domokos, M. +1 · 1 citation
    Mathematics · #16W30 #20G42 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W30 #msc:20G42
  7. On the definition of higher order differential operators in noncommutative geometry
    2003/08/11 by G. Sardanashvily, Sardanashvily, G. · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math-ph #math.MP #math.QA
  8. Semigroups of I-type
    2003/08/08 by Tatiana Gateva-Ivanova, Gateva-Ivanova, Tatiana, Michel Van den Bergh +1 · 4 citations
    Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
  9. Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory
    2003/07/31 by Nikolay M. Nikolov, Nikolay Nikolov · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th #math-ph #math.MP #math.QA
  10. De Rham Complex for Quantized Irreducible Flag Manifolds
    2003/07/31 by I. Heckenberger, Stefan Kolb, S. Kolb +2 · 4 citations
    Mathematics · #58B32 #81R50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:58B32 #msc:81R50
  11. Noncommutative Riemannian and Spin Geometry of the Standard q-Sphere
    2003/07/27 by S. Majid, Majid, S. · 1 citation
    Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
  12. Generalized coherent states for q-oscillator connected with q-Hermite polynomials
    2003/07/27 by Vadim V. Borzov, V. V. Borzov, Eugene V. Damaskinsky +2 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Quantum Algebra (math.QA) #Quantum Mechanics and Non-Hermitian Physics #math.CA #math.QA
  13. Invariant Star Products of Wick Type: Classification and Quantum Momentum Mappings
    2003/07/24 by Michael F. Mueller-Bahns, Nikolai Neumaier, Mueller-Bahns, Michael F. +1 · 1 citation
    Mathematics · Physics and Astronomy · #53D20 #53D55 #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math-ph #math.MP #math.QA #math.SG #msc:53D20 #msc:53D55
  14. Chiral de Rham Complex and Orbifolds
    2003/07/14 by Edward Frenkel, Matthew Szczesny, Frenkel, Edward +1 · 2 citations
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.AG #math.QA
  15. Cyclic homology of Hopf Galois extensions and Hopf algebras
    2003/07/08 by P. Jara, Pascual Jara, Dragoş Ştefan +3 · 2 citations
    Mathematics · #16E40 #16W30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA #msc:16E40 #msc:16W30
  16. From double affine Hecke algebras to quantized affine Schur algebras
    2003/07/03 by Michela Varagnolo, Éric Vasserot, Varagnolo, Michela +2 · 1 citation
    Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
  17. Two relations that generalize the q-Serre relations and the Dolan-Grady relations
    2003/07/01 by Paul Terwilliger, Terwilliger, Paul · 3 citations
    Mathematics · Physics and Astronomy · #05E30 #05E35 #33C45 #33D45 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math-ph #math.CO #math.MP #math.QA #math.RA #math.RT #msc:05E30 #msc:05E35 #msc:33C45 #msc:33D45
  18. On the characteristic and deformation varieties of a knot
    2003/06/30 by Stavros Garoufalidis · 2 citations
    Mathematics · #math.GT #math.QA #msc:57N10 #msc:57M25
  19. The modular properties and the integral representations of the multiple elliptic gamma functions
    2003/06/30 by Atsushi Narukawa · 2 citations
    Mathematics · #math.QA #math.CA #msc:33B15 #msc:33D05 #msc:33E30 #msc:11F03
  20. 2-categorical Poincare Representations and State Sum Applications
    2003/06/30 by L. Crane, Louis Crane, Crane, L. +2 · 2 citations
    Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #gr-qc #math.CT #math.QA
  21. The Chern-Galois character
    2003/06/30 by Tomasz Brzezinski, Brzezinski, Tomasz, Piotr M. Hajac +1 · 1 citation
    Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA
  22. Double affine Hecke algebras of rank 1 and affine cubic surfaces
    2003/06/27 by Alexei Oblomkov, Oblomkov, Alexei · 3 citations
    Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
  23. Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
    2003/06/19 by Paul Terwilliger, Terwilliger, Paul · 4 citations
    Computer Science · Engineering · Mathematics · Physics and Astronomy · #05E30 #17B37 #33C45 #33D45 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #graph theory and CDMA systems #math-ph #math.CO #math.MP #math.QA #math.RA #math.RT #msc:05E30 #msc:17B37 #msc:33C45 #msc:33D45
  24. Cocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology
    2003/06/03 by J. Scott Carter, Carter, J. Scott, Mohamed Elhamdadi +6 · 2 citations
    Mathematics · #55N35 #57M25 #57Q45 #57T05 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.GT #math.QA #msc:55N35 #msc:57M25 #msc:57Q45 #msc:57T05
  25. Deformations of coisotropic submanifolds and strong homotopy Lie algebroids
    2003/05/31 by Yong-Geun Oh, Jae-Suk Park · 1 citation
    Mathematics · Physics and Astronomy · #math.SG #hep-th #math.QA #msc:53D35 #msc:53D55 #msc:58A50
  26. Towards Vertex Algebras of Krichever-Novikov Type, Part I
    2003/05/29 by K. J. Linde, Klaus-Juergen Linde, Linde, K. J. · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #math-ph #math.MP #math.QA
  27. Leonard pairs and the Askey-Wilson relations
    2003/05/26 by Paul Terwilliger, Terwilliger, Paul, Raimundas Vidunas +2 · 3 citations
    Mathematics · #05E35 #17B37 #33C45 #33D45 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:05E35 #msc:17B37 #msc:33C45 #msc:33D45
  28. Presenting generalized q-Schur algebras
    2003/05/14 by Stephen Doty, Doty, Stephen · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #msc:16W35 #msc:17B37 #msc:81R50
  29. Higher Operads, Higher Categories
    2003/05/02 by Tom Leinster, Leinster, Tom · 14 citations
    Mathematics · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Rings, Modules, and Algebras #math.AG #math.AT #math.CT #math.QA
  30. Quantum automorphism groups of small metric spaces
    2003/04/30 by Teodor Banica · 2 citations
    Mathematics · #math.QA

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