منابع مشابه
Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory
We show that the Young tableaux theory and constructions of the irreducible representations of the Weyl groups of type A, B and D, Iwahori-Hecke algebras of types A, B, and D, the complex reflection groups G(r, p, n) and the corresponding cyclotomic Hecke algebras Hr,p,n, can be obtained, in all cases, from the affine Hecke algebra of type A. The Young tableaux theory was extended to affine Hec...
متن کاملAane Hecke Algebras, Cyclotomic Hecke Algebras and Cliiord Theory
We show that the Young tableaux theory and constructions of the irreducible representations of the Weyl groups of type A, can be obtained, in all cases, from the aane Hecke algebra of type A. The Young tableaux theory was extended to aane Hecke algebras (of general Lie type) in recent work of A. Ram. We also show how (in general Lie type) the representations of general aane Hecke algebras can b...
متن کاملHecke algebras as subalgebras of Clifford geometric algebras of multivectors
Clifford geometric algebras of multivectors are introduced which exhibit a bilinear form which is not necessarily symmetric. Looking at a subset of bi-vectors in Cl(IK, B), we proof that theses elements generate the Hecke algebra HIK(n + 1, q) if the bilinear form B is chosen appropriately. This shows, that q-quantization can be generated by Clifford multivector objects which describe usually c...
متن کاملGeometric Methods in Representation Theory of Hecke Algebras and Quantum Groups
These lectures given in Montreal in Summer 1997 are mainly based on, and form a condensed survey of the book N. Chriss, V. Ginzburg ‘Representation Theory and Complex Geometry’ , Birkhäuser 1997. Various algebras arising naturally in Representation Theory such as the group algebra of a Weyl group, the universal enveloping algebra of a complex semisimple Lie algebra, a Quantum group or the Iwaho...
متن کاملGeometric methods in the representation theory of Hecke algebras and quantum groups
These lectures given in Montreal in Summer 1997 are mainly based on, and form a condensed survey of the book by N. Chriss and V. Ginzburg, Representation Theory and Complex Geometry , Birkhäuser 1997. Various algebras arising naturally in Representation Theory such as the group algebra of a Weyl group, the universal enveloping algebra of a complex semisimple Lie algebra, a quantum group or the ...
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: Mathematische Annalen
سال: 2019
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-019-01860-1