Satoshi Naito
- A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory
2020/10/09 by Cristian Lenart, Lenart, Cristian, Satoshi Naito +3 · 3 citations
Mathematics · #05E14 #14N15 #17B37 #81R10 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Primary 14M15 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary 14N10
- Quantum K-theory Chevalley formulas in the parabolic case
2021/09/23 by Takafumi Kouno, Cristian Lenart, Kouno, Takafumi +7 · 3 citations
Mathematics · #05E10 #14M15 #14N15 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)
- A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials
2023/05/28 by Toshiaki Maeno, Maeno, Toshiaki, Satoshi Naito +3 · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Advanced Algebra and Geometry
- Identities of inverse Chevalley type for graded characters of level-zero Demazure submodules over quantum affine algebras of type C
2022/09/01 by Takafumi Kouno, Kouno, Takafumi, Satoshi Naito +3 · 1 citation
Mathematics · #14M15 #20G42 #81R10 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Primary 05E10 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary 14N15
- Specialization of nonsymmetric Macdonald polynomials at t=∞ and Demazure submodules of level-zero extremal weight modules
2015/11/22 by Satoshi Naito, Fumihiko Nomoto, Naito, Satoshi +3 · 1 citation
Mathematics · #17B37 #20G42 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 05E05 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary 33D52
- Pieri-type multiplication formula for quantum Grothendieck polynomials
2022/11/03 by Satoshi Naito, Daisuke Sagaki, Naito, Satoshi +1 · 1 citation
Mathematics · #05E14 #14N15 #14N35 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Mathematics Subject Classification 2020: Primary 05E05 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary 14M15
- Toward Berenstein-Zelevinsky data in affine type A, I: Construction of affine analogs
2010/09/23 by Satoshi Naito, Naito, Satoshi, Daisuke Sagaki +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds
2018/08/04 by Satoshi Naito, Daniel L. Orr, Naito, Satoshi +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum K-group of partial flag manifolds
2020/03/31 by Takafumi Kouno, Kouno, Takafumi, Satoshi Naito +3 · 1 citation
Mathematics · #14M15 #33D52 #81R10 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 17B37 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary 14N15