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principal series 2banach representations 1gl_3 1irreducibility 1irreducibility criteria 1local fields 1locally analytic representations 1p-adic Banach representations 1p-adic groups 1reductive groups 1

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most citedOn the irreducibility of -adic Banach principal series of -adic reductive groups

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math.RT2025

First extension groups of Verma modules and -polynomials

Noriyuki Abe

We study the first extension groups between Verma modules. There was a conjecture which claims that the dimensions of the higher extension groups between Verma modules are the coef…