Blocks of cyclotomic hecke algebras
Webmodular decomposition numbers of cyclotomic hecke and diagrammatic cherednik algebras: a path theoretic approach Part of: Linear algebraic groups and related topics … WebJun 4, 2009 · We construct an explicit isomorphism between blocks of cyclotomic Hecke algebras and (sign-modified) cyclotomic Khovanov-Lauda algebras in type A. These …
Blocks of cyclotomic hecke algebras
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WebThis paper classifies the blocks of the cyclotomic Hecke algebras of type G (r,1,n) over an arbitrary field. Rather than working with the Hecke algebras directly we work instead … WebApr 7, 2024 · In this paper, we define a quotient of the cyclotomic Hecke algebra of type G (r, 1, n) as a generalisation of the Temperley-Lieb algebras of type A and B.We establish …
WebFeb 13, 2024 · Let be a cyclotomic Hecke algebra of type , where and . For each block of , we introduce a new invariant, called block move vector, which can be considered as a generalization of the weight . We prove by using block move vector that block has finite representation type if and only if , or is Morita equivalent to . Webe= 2). Thus the theorem shows that blocks of cyclotomic Hecke algebras are cyclotomic Khovanov-Lauda algebras. If Λ is of level one, HΛ d is isomorphic to the group algebra FSd of the sym-metric group if q= 1 or the associated Iwahori-Hecke algebra for arbitrary q. In these cases, our Main Theorem for e= 0 is essentially Young’s semi-normal
WebDec 10, 2008 · We prove that the center of each degenerate cyclotomic Hecke algebra associated to the complex reflection group of type B d ( l) consists of symmetric polynomials in its commuting generators. The classification of the blocks of the degenerate cyclotomic Hecke algebras is an easy consequence. WebJonathan Brundan, Centers of degenerate cyclotomic Hecke algebras and parabolic category $\scr O$, Represent. Theory 12 (2008), 236–259. MR 2424964, DOI 10.1090/S1088-4165-08-00333-6; Jonathan Brundan and Alexander Kleshchev, Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras, Invent. Math. 178 (2009), …
Webof the blocks of the cyclotomic Schur algebras. We obtain an explicit description of the blocks by analyzing the combinatorics of ‘Jantzen equivalence’. We remark that a proof of the classification of the blocks of th e cyclotomic Hecke algebras was an-nounced in 1999. Unfortunately, Cox has discovered that this previous proof is ...
WebApr 7, 2024 · In this paper, we define a quotient of the cyclotomic Hecke algebra of type G (r, 1, n) as a generalisation of the Temperley-Lieb algebras of type A and B.We establish a graded cellular structure for the generalised Temperley-Lieb algebra and, using the technology of KLR algebras, determine the corresponding decomposition matrix. kentucky downs scratchesWebCyclotomic Hecke algebras, complex reflection groups and their braid groups The q -Schur algebras and cyclotomic q -Schur algebras Algebraic combinatorics, especially that associated with tableaux, Fock spaces and canonical bases The theory of (graded) cellular algebras Affine Hecke algebras Quantum groups, canonical bases, and crystal graphs kentucky downs scratches todayWebblock of the trivial representation is equivalent to the category of represen-tations of the spherical subalgebra of the centrally extended preprojective algebra. As a by-product, we show that the dimension of the cyclotomic Hecke algebra of a 2-dimensional complex reflection group for generic pa- kentucky downs race track handicappingWebclassification of the blocks of the degenerate cyclotomic and affine Hecke algebras is an easy consequence. We then deduce that the center of an integral block of parabolic category Ofor the Lie algebra gl n (C) is generated by the center of its universal enveloping algebra. 1. Introduction Let R be a fixed commutative ground ring. Recall ... kentucky downs racingWebAuthor: Maria Chlouveraki Publisher: Springer Science & Business Media ISBN: 3642030637 Category : Mathematics Languages : en Pages : 173 Download Book. Book … is inktip a scamWebblock of the trivial representation is equivalent to the category of represen-tations of the spherical subalgebra of the centrally extended preprojective algebra. As a by-product, we show that the dimension of the cyclotomic Hecke algebra of a 2-dimensional complex reflection group for generic pa- kentucky downs resultsWebREPRESENTATION TYPE OF BLOCKS OF CYCLOTOMIC HECKE ALGEBRAS 3 algebra of type G(r,1,n) has finite representation type. Our main purpose in this paper is to study this problem. kentucky downs casino address