A 'second orthogonality relation' for characters of Brauer algebras

European Journal of Combinatorics

Volumn 18, Issue 6, 1997, Pages 685-706

  Ram, Arun ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744441714     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1996.0132     Document Type: Article

References (14)

1. N. Bourbaki, Algèbre, Masson, Paris, 1981: see Chapter VIII.
2. N. Bourbaki, Groupes et Algèbres de Lie, Masson, Paris, 1981: see Chapters 4-6.
3. R. Brauer, On algebras which are connected with the semisimple continuous groups, Ann. Math., 38 (1937), 854-872.
4. C. W. Curtis and I. Reiner, Methods of Representation Theory - with Applicatins to Finite Groups and Orders, Wiley-Interscience, New York, 1981.
5. P. Diaconis and M. Shahshahani, On the eigenvalues of random matrices, preprint, 1993.
6. D. Grabiner and P. Magyar, Random walks in Weyl chambers and the decomposition of tensor powers, J. Algebra. Combin., 2 (1993), 239-260.
7. I. G. Macdonald, Symmetric functions and Hall Polynomials, Clarendon Press, Oxford, 1979.
8. A. Ram, Weyl group symmetric functions and the representation theory of Lie algebras, in Proceedings of the 4th Conference on Formal Power Series and Algebraic Combinatorics, P. Leroux and C. Reutenauer (eds), Publ. LACIM No. 11, Université du Québec à Montréal, 1992, pp. 327-342.
9. A. Ram, Characters of Brauer's centralizer algebras, Pac. J. Math, to appear.
10. B. Sagan, The Symmetric Group; Representations, Combinatorial algorithms, and Symmetric Functions, Wadsworth-Brooks/Cole, 1991.
11. R. Stanley, Differential posets, J. Am. Math. Soc., 1 (1988), 919-691.
12. S. Sundaram, On the combinatorics of representations of Sp(2n, ℂ), Ph.D. Thesis, MIT, 1986.
13. G. Viennot, Une théorie combinatoire des polynómes orthogonaux généraux, Lecture Notes, Université du Québec àMontréal, 1983.
14. H. Wenzl, On the structure of Brauer's centralizer algebras, Ann. Math., 128 (1988), 173-183.