[HTML][HTML] A supercharacter theory for involutive algebra groups
If J is a finite-dimensional nilpotent algebra over a finite field k, the algebra group P= 1+ J
admits a (standard) supercharacter theory as defined in [16]. If J is endowed with an …
admits a (standard) supercharacter theory as defined in [16]. If J is endowed with an …
Decomposing André-Neto supercharacters of Sylow p-subgroups of Lie type D
M Jedlitschky - 2013 - elib.uni-stuttgart.de
It is well known that the classification of irreducible characters for the group of upper
unitriangular nx n-matrices over a finite field with q elements, denoted U_n (q), is a" wild" …
unitriangular nx n-matrices over a finite field with q elements, denoted U_n (q), is a" wild" …
Smooth representations of Groups associated with Algebras defined over non-archimedean fields
JMC Dias - 2019 - search.proquest.com
In this thesis, we study smooth representations of algebra groups, involutive algebra groups
and unit groups of split basic algebras. We prove that every smooth irreducible …
and unit groups of split basic algebras. We prove that every smooth irreducible …
CHARACTER DEGREES OF GROUPS ASSOCIATED WITH FINITE SPLIT BASIC ALGEBRAS WITH INVOLUTION
CAM André - Albanian Journal of Mathematics, 2018 - projecteuclid.org
Let 𝒜 be a finite-dimensional split basic algebra over a finite field k with odd characteristic,
and assume that 𝒜 is endowed with an involution σ: 𝒜→ 𝒜. We determine the degrees of the …
and assume that 𝒜 is endowed with an involution σ: 𝒜→ 𝒜. We determine the degrees of the …