Character formulae for classical groups
✍ Scribed by Péter E. Frenkel
- Book ID
- 111488341
- Publisher
- SP Versita
- Year
- 2006
- Tongue
- English
- Weight
- 171 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1895-1074
No coin nor oath required. For personal study only.
✦ Synopsis
We give formulae relating the value χ λ (g) of an irreducible character of a classical group G to entries of powers of the matrix g ∈ G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].
📜 SIMILAR VOLUMES
Karl M. Kronstein Department of Mathematics, Unitersity of Notre Dame, Notre Dame, Indiana 46556 AND Mark S. Mazur Departmem of Mathematics and Computer Science, Duquesne University, Pittshurgh, Pennsyhania 15282 Communicated by walter Feit Received February 15, 1985 ## INTRODUCTION In this p
This paper examine all sums of the form where W is a classical Weyl group, g is a one-dimensional character of W, and d(n) is the descent statistic. This completes a picture which is known when Wis the symmetric group S, (the Weyi group A,\_ 1). Surprisingly, the answers turn out to be simpler and