Mark Shimozono
- Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture
2016/09/24 by James Haglund, Brendon Rhoades, Haglund, James +3 · 10 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications
- Back stable Schubert calculus
2021/04/30 by Thomas Lam, Seung Jin Lee, Mark Shimozono · 11 citations
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Polynomial and algebraic computation #Algebraic structures and combinatorial models
- Quantum cohomology of G/P and homology of affine Grassmannian
2007/05/10 by Thomas Lam, Lam, Thomas, Mark Shimozono +1 · 5 citations
Mathematics · #14N35 #57T15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
- Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
1998/04/07 by Mark Shimozono, Shimozono, Mark · 3 citations
Mathematics · #05E05 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05E05
- Graded characters of modules supported in the closure of a nilpotent conjugacy class
1998/04/07 by Mark Shimozono, Jerzy Weyman, Shimozono, Mark +1 · 2 citations
Mathematics · #05E05 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05E05
- A conjectural Peterson isomorphism in K-theory
2017/05/09 by Thomas Lam, Lam, Thomas, Changzheng Li +5 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
- From quantum Schubert polynomials to k-Schur functions via the Toda lattice
2010/10/19 by Thomas Lam, Mark Shimozono, Lam, Thomas +1 · 2 citations
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality
- A cyclage poset structure for Littlewood-Richardson tableaux
1998/04/07 by Mark Shimozono, Shimozono, Mark · 1 citation
Mathematics · #05E05 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:05E05
- Hall-Littlewood vertex operators and generalized Kostka polynomials
2000/01/28 by Mark Shimozono, Mike Zabrocki, Shimozono, Mark +1 · 1 citation
Mathematics · #05E05 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05E05
- Four positive formulae for type A quiver polynomials
2003/08/14 by Allen Knutson, Ezra Miller, Knutson, Allen +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.AC #math.AG #math.CO #msc:05E05 #msc:05E15 #msc:14C17 #msc:14M12
- A generalization of the Kostka-Foulkes polynomials
1998/03/14 by A. N. Kirillov, Anatol N. Kirillov, Mark Shimozono +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
- Equivariant Pieri Rule for the homology of the affine Grassmannian
2011/05/25 by Thomas Lam, Mark Shimozono, Lam, Thomas +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
- From double quantum Schubert polynomials to k-double Schur functions via the Toda lattice
2011/09/10 by Thomas Lam, Lam, Thomas, Mark Shimozono +1 · 1 citation
Mathematics · #14N35 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
- On the coproduct in affine Schubert calculus
2019/06/19 by Thomas Lam, Lam, Thomas, Seung Jin Lee +3 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Algebra and Geometry #Algebraic structures and combinatorial models
- Wreath Macdonald polynomials, a survey
2023/08/23 by Daniel L. Orr, Orr, Daniel, Mark Shimozono +1 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Advanced Topics in Algebra
- Hall-Littlewood expansions of Schur delta operators at t = 0
2018/01/24 by James Haglund, Haglund, James, Brendon Rhoades +3 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics