Uday Bhaskar Sharma spoke on "A Frobenius-Type Formula for Compact Lie Groups" at a conference in IIT Bombay. He also gave a talk on "Conjugacy Classes of Centralizers in Weyl Groups" in Hyderabad.
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Presentation on "A Frobenius-Type Formula for Compact Lie Groups" at the Conference "Groups and Representations."
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School of Liberal Studies
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This was a talk on the topic of Lie Groups in the broad area of group theory
Let G be a finite group, and α: G x G → G denotes the commutator map. The cardinalities of the fiber α^{-1}(g) can be computed by a formula due to Frobenius, using the character values χ(g) of irreducible characters χ of G. We derive the generalized formula for connected compact lie groups, orthogonal groups, as well as FC groups. This is joint work with Dr. Shripad Garge from IIT Bombay.
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