It is shown that MacMahon's master theorem gives the diagonal elements of a ลฝ . class of irreducible representations of the general linear group, Gl n, C , and hence the trace of these representations, or the group characters. These representations are unitary under restriction to the unitary subgro
Specializations and extensions of the quantum MacMahon Master Theorem
โ Scribed by Dominique Foata; Guo-Niu Han
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 156 KB
- Volume
- 423
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
We study some specializations and extensions of the quantum version of the MacMahon Master Theorem derived by Garoufalidis, Lรช and Zeilberger. In particular, we obtain a (t, q)-analogue for the Cartier-Foata non-commutative version and a semi-strong (t, q)-analogue for the contextual algebra.
๐ SIMILAR VOLUMES
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