Titlebook: Analysis, Geometry and Probability; Essays in honour of Rajendra Bhatia Book 1996 Hindustan Book Agency (India) 1996

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Counting Finite Groups,these questions have partial (and, in some cases, complete) answers. Their investigations take us into the domain of both finite group theory and analytic number theory. It is the purpose of this article to survey these investigations and to adumbrate problems and topics for further research.

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Book 1996e a glimpse into an active field of research. All articles are accessible to graduate students. The articles were invited in honour of K. R. Parthasarathy, a mathematican, teacher and expositor of renown. Some of the articles, by his coworkers, are related to his work on probability, quantum probabi

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https://doi.org/10.1007/978-981-32-9339-7g the form of irreducible representations of .(.) admitting non-zero Iwahori-fixed vectors. In the final section we define the Brylinski quotient .(.) for the space T. equipped with the natural action of the symmetric group . and prove that the space of Deligne-Langlands parameters of these representations is homeomorphic to .(.).

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The Representation theory of ,-adic ,(,) and Deligne-Langlands parameters,g the form of irreducible representations of .(.) admitting non-zero Iwahori-fixed vectors. In the final section we define the Brylinski quotient .(.) for the space T. equipped with the natural action of the symmetric group . and prove that the space of Deligne-Langlands parameters of these representations is homeomorphic to .(.).