- The composition algebra of an affine quiver
2004/03/12 by Andrew Hubery, Hubery, Andrew · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #math.RT #msc:16G20 #msc:17B37
- Crystal bases of the Fock space representations and string functions
2004/03/05 by Seok-Jin Kang, Jae-Hoon Kwon, Kang, Seok-Jin +1 · 1 citation
Mathematics · #17B37 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B37
- Chains of extended Jordanian twists for Lie superalgebras
2004/02/26 by V.N. Tolstoy, V. N. Tolstoy, Tolstoy, V. N. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA
- Isomorphisms between quantum generalized Weyl algebras
2004/02/25 by Lionel Richard, Andrea Solotar, Richard, Lionel +2 · 1 citation
Mathematics · Physics and Astronomy · #16E40 #16E65 #16W70 #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #Quantum Mechanics and Non-Hermitian Physics #math.KT #math.QA #msc:16E40 #msc:16E65 #msc:16W70 #msc:17B37
- Tableaux on k+1-cores, reduced words for affine permutations, and k-Schur expansions
2004/02/19 by L. Lapointe, Luc Lapointe, Lapointe, L. +3 · 1 citation
Mathematics · #05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05
- Quantum Painlevé systems of type A(1)l
2004/02/17 by Hajime Nagoya, Nagoya, Hajime · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
- Structure theory of finite Lie conformal superalgebras
2004/02/12 by Davide Fattori, Fattori, Davide, Victor G. Kac +3 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA
- Khovanov homology and the slice genus
2004/02/09 by Jacob A. Rasmussen, Rasmussen, Jacob A. · 8 citations
Mathematics · #57M27 #57R56 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:57M27 #msc:57R56
- Poisson boundary of the dual of SUq(n)
2004/02/05 by Masaki Izumi, Izumi, Masaki, Sergey Neshveyev +3 · 1 citation
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA
- The A-infinity operad and the moduli space of curves
2004/02/02 by Kevin Costello, Costello, Kevin · 6 citations
Mathematics · #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG #math.QA
- Families of Hopf algebras of trees and pre-Lie algebras
2004/02/02 by Pepijn van der Laan, Ieke Moerdijk, van der Laan, Pepijn +1 · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
- Matrix factorizations and link homology
2004/01/21 by Mikhail Khovanov, Lev Rozansky, Khovanov, Mikhail +1 · 9 citations
Mathematics · #57M25 #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA #msc:57M25
- On G--equivariant modular categories
2004/01/12 by Alexander Kirillov Jr, Kirillov, Alexander · 1 citation
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CT #math.QA
- Kirby elements and quantum invariants
2003/12/17 by Alexis Virelizier, Virelizier, Alexis · 1 citation
Mathematics · #18D10 #57M27 #81R50 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:18D10 #msc:57M27 #msc:81R50
- C*-algebraic quantum Gromov-Hausdorff distance
2003/11/28 by Hanfeng Li, Li, Hanfeng · 1 citation
Mathematics · #58B34 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Primary 46L87 #Quantum Algebra (math.QA) #Secondary 53C23 #math.OA #math.QA #msc:46L87 #msc:53C23 #msc:58B34
- PBW bases for a class of braided Hopf algebras
2003/11/27 by Stefan Ufer, Ufer, Stefan · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA
- 3-Transposition Groups of Symplectic Type and Vertex Operator Algebras
2003/11/23 by Atsushi Matsuo, Matsuo, Atsushi · 1 citation
Mathematics · Physics and Astronomy · #17B69 #51E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.GR #math.QA #msc:17B69 #msc:51E30
- Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
2003/11/17 by Luc Menichi, Menichi, Luc · 1 citation
Mathematics · #16E40 #16W30 #18D50 #19D55 #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA) #math.AT #math.QA #msc:16E40 #msc:16W30 #msc:18D50 #msc:19D55
- The Automorphism Group of the Vertex Operator Algebra VL+ for an even lattice L without roots
2003/11/10 by Hiroki Shimakura, Shimakura, Hiroki · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #math.GR #math.QA
- A Combinatorial Formula for the Character of the Diagonal Coinvariants
2003/10/28 by J. Haglund, M. Haiman, Mark Haiman +11 · 4 citations
Mathematics · #20C30 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Primary: 05E10 #Quantum Algebra (math.QA) #Secondary: 05A30 #math.CO #math.QA #msc:05A30 #msc:05E10 #msc:20C30
- Fusion rules for the vertex operator algebras M(1)+ and VL+
2003/10/28 by T. Abe, C. Dong, Abe, T. +3 · 3 citations
Mathematics · #17B69 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B69
- Finite dimensional quasi-Hopf algebras with radical of codimension 2
2003/10/16 by Pavel Etingof, Shlomo Gelaki, Etingof, Pavel +1 · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
- Hilbert schemes, Hecke algebras and the Calogero-Sutherland system
2003/10/13 by Kevin Costello, K. Costello, Costello, K. +2 · 3 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
- Koszul and Gorenstein properties for homogeneous algebras
2003/10/06 by Roland Berger, Berger, Roland, Nicolas Marconnet +1 · 1 citation
Mathematics · #16E40 #16E65 #16S37 #16S38 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16E40 #msc:16E65 #msc:16S37 #msc:16S38
- Tridiagonal pairs and the quantum affine algebra Uq( sl2)
2003/10/03 by Tatsuro Ito, Paul Terwilliger, Ito, Tatsuro +1 · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Matrix Theory and Algorithms #math.CV #math.QA #msc:20G42
- Completely positive inner products and strong Morita equivalence
2003/09/24 by Henrique Bursztyn, Stefan Waldmann, Bursztyn, Henrique +1 · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA
- On Kontsevich's Hochschild cohomology conjecture
2003/09/22 by P. Hu, Po Hu, I. Kriz +5 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #math.QA #math.RA #msc:16E40 #msc:17A30 #msc:17A42 #msc:18C15 #msc:18D50 #msc:55P48
- A c*-algebraic framework for quantum groups
2003/09/20 by Tetsuya Masuda, T. Masuda, Y. 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
- 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
- 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
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