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math.RT2026
Characters of at involutions
CHAYAN KARMAKAR
The exceptional group has two conjugacy classes of involutions: an involution with centralizer , and the principal involution, wi…
math.RT2024
Character values at elements of order 2
Chayan Karmakar
In this paper we compute the character values of highest weight representations for classical groups of types A_n, B_n, C_n, D_n and the Exceptional group G_2 at all conjugacy clas…
math.RT2022
Character factorizations for representations of GL(n,C)
Chayan Karmakar
We give another proof of a theorem of D. Prasad (Theorem 2, \textit{Israel J. Math.} 2016), which is also a classical result of Littlewood--Richardson (Theorem VI, \textit{Q. J. Ma…