WebOct 30, 2009 · Abstract. We use graded Specht modules to calculate the graded decomposition numbers for the Iwahori-Hecke algebra of the symmetric group over a field of characteristic zero at a root of unity ... WebDec 30, 2024 · A graded (or “homogeneous”) ideal of A is a graded submodule of A, seen as graded module over itself. Thus the following properties are easy consequences of Lemmas 7.1.8 and 7.1.9. Proposition 7.1.11 Let A be a graded k -algebra. (1) Let …
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WebExterior power operations in the representation theory of the classical Weyl groups. J. Bryden. Mathematics. 1999. First, we introduce a class of operations, called ⊘-operations, on the repre-sentation rings of the classical Weyl groups W (Bk ) and W (Dk ) These operations are shown to generate the exterior power…. 2. WebApr 1, 2012 · In representation theory, the existence of a ℤ+-grading on a related finite dimensional algebra often plays an important role. For example, such a grading arises from the Koszul structure of the ... black and white vintage bed sets
A graded representation model for Macdonald
WebJan 1, 2024 · A graded representation ρ of L in a graded Hermitian vector space V is star (or graded star) representation if: (or ) for all X ∈ L . Every star or graded star … In 1978, John McKay found that the first few terms in the Fourier expansion of the normalized J-invariant (sequence A014708 in the OEIS), where the LHS are the coefficients of while the RHS are the dimensions of the monster group M. (Since there can be several linear relations between the such as , the representation may be in more than one way.) McKay viewed this as evidence that there is a naturally occurring infinite-di… WebJan 1, 2011 · The modular representation theory of finite groups has its origins in the work of Richard Brauer. In this survey article, we first discuss the work being done on some outstanding conjectures in the theory. We then describe work done in the eighties and nineties on modular representations in non-defining characteristic of finite groups of Lie … black and white vintage beer can