Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Michael Chmutov"'
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
In his study of Kazhdan-Lusztig cells in affine type A, Shi has introduced an affine analog of Robinson- Schensted correspondence. We generalize the Matrix-Ball Construction of Viennot and Fulton to give a more combi- natorial realization of Shi's al
Externí odkaz:
https://doaj.org/article/c04ae9caf380465c88e4025404737211
Autor:
Michael Chmutov
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
Let $(W, S)$ be a Coxeter system. A $W$-graph is an encoding of a representation of the corresponding Iwahori-Hecke algebra. Especially important examples include the $W$-graph corresponding to the action of the Iwahori-Hecke algebra on the Kazhdan-L
Externí odkaz:
https://doaj.org/article/0235016a2e62484b86359a61d8479985
Publikováno v:
Journal of Combinatorial Algebra. 4:111-140
Berenstein and Kirillov have studied the action of Bender-Knuth moves on semistandard tableaux. Losev has studied a cactus group action in Kazhdan-Lusztig theory; in type $A$ this action can also be identified in the work of Henriques and Kamnitzer.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6300bcde131df5b83a2751208d273144
https://doi.org/10.4171/jca/36
https://doi.org/10.4171/jca/36
Publikováno v:
Selecta Mathematica. 24:667-750
In his study of Kazhdan–Lusztig cells in affine type A, Shi has introduced an affine analog of Robinson–Schensted correspondence. We generalize the Matrix-Ball Construction of Viennot and Fulton to give a more combinatorial realization of Shi’s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::789f0c88ee0ede75f6b3ca031a3d9bd0
https://doi.org/10.1007/s00029-018-0402-6
https://doi.org/10.1007/s00029-018-0402-6
Autor:
Michael Chmutov
Publikováno v:
Journal of Algebraic Combinatorics. 42:1059-1076
Let (W, S) be a Coxeter system. A W-graph is an encoding of a representation of the corresponding Iwahori---Hecke algebra. Especially important examples include the W-graph corresponding to the action of the Iwahori---Hecke algebra on the Kazhdan---L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bc031fff5aabfbcbfa1875beaec9f5d
https://doi.org/10.1007/s10801-015-0616-z
https://doi.org/10.1007/s10801-015-0616-z
We use the affine Robinson-Schensted correspondence to describe the structure of bidirected edges in the Kazhdan-Lusztig cells in affine type A. Equivalently, we give a comprehensive description of the Knuth equivalence classes of affine permutations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e60715deeacfee7464fd9e5ae0341328
Publikováno v:
European Journal of Combinatorics. 29:311-321
In this paper we prove the knight move theorem for the chromatic graph cohomologies with rational coefficients introduced by L. Helme-Guizon and Y. Rong. Namely, for a connected graph @C with n vertices the only non-trivial cohomology groups H^i^,^n^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::784113d1df11472f33d2560377b6c3c8
https://doi.org/10.1016/j.ejc.2006.07.009
https://doi.org/10.1016/j.ejc.2006.07.009
Publikováno v:
Discrete Mathematics and Theoretical Computer Science
28-th International Conference on Formal Power Series and Algebraic Combinatorics
28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada
28-th International Conference on Formal Power Series and Algebraic Combinatorics
28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada
In his study of Kazhdan-Lusztig cells in affine type $A$, Shi has introduced an affine analog of Robinson-Schensted correspondence. We generalize the Matrix-Ball Construction of Viennot and Fulton to give a more combinatorial realization of Shi's alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b7bf1f8b1d41460b68aafa453d7339a
http://arxiv.org/abs/1511.05861
http://arxiv.org/abs/1511.05861
Publikováno v:
Journal of Algebra and Its Applications. 15:1650080
We give a formula for the superdimension of a finite-dimensional simple [Formula: see text]-module using the Su–Zhang character formula. This formula coincides with the superdimension formulas proven by Weissauer and Heidersdorf–Weissauer. As a c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24e314bfbaef1dd275acb5809276cdd2
https://doi.org/10.1142/s0219498816500808
https://doi.org/10.1142/s0219498816500808