ENHANCED VARIETY OF HIGHER LEVEL AND KOSTKA FUNCTIONS ASSOCIATED TO COMPLEX REFLECTION GROUPS
نویسندگان
چکیده
منابع مشابه
Macdonald Functions Associated to Complex Reflection Groups
Abstract. Let W be the complex reflection group Sn ⋉ (Z/eZ) n. In the author’s previous paper [S1], Hall-Littlewood functions associated to W were introduced. In the special case where W is a Weyl group of type Bn, they are closely related to Green polynomials of finite classical groups. In this paper, we introduce a two variables version of the above Hall-Littlewood functions, as a generalizat...
متن کاملGreen Functions Associated to Complex Reflection Groups, Ii
Green functions associated to complex reflection groups G(e, 1, n) were discussed in the author’s previous paper. In this paper, we consider the case of complex reflection groups W = G(e, p, n). Schur functions and Hall-Littlewood functions associated to W are introduced, and Green functions are described as the transition matrix between those two symmetric functions. Furthermore, it is shown t...
متن کاملKOSTKA SYSTEMS AND EXOTIC t-STRUCTURES FOR REFLECTION GROUPS
Let W be a complex reflection group, acting on a complex vector space h. Kato has recently introduced the notion of a “Kostka system,” which is a certain collection of finite-dimensional W -equivariant modules for the symmetric algebra on h. In this paper, we show that Kostka systems can be used to construct “exotic” t-structures on the derived category of finite-dimensional modules, and we pro...
متن کاملa comparison of teachers and supervisors, with respect to teacher efficacy and reflection
supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...
15 صفحه اولOn Complex Reflection Groups and Their Associated Braid Groups
Presentations \\ a la Coxeter" are given for all (irreducible) nite complex reeec-tion groups. They provide presentations for the corresponding generalized braid groups (still conjectural in some cases) which allow us to generalize some of the known properties of nite Coxeter groups (center of the braid group, construction of Hecke algebras). 1. Background from complex reflection groups For all...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transformation Groups
سال: 2017
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-017-9422-0