Note on faithful modular representations of a firtite group.

A note on modular hyperconvex space

a note on modular hyperconvex space

On Faithful Representations of Lie Groups

where tE:R and I is the unit matrix of degree d. Let GL(K, d) denote the group of all nonsingular matrices of degree d with coefficients in K. Any subgroup of GL(K, d) will be called a linear group of degree d. Let 0 be the identity representation of a linear Lie group G with the Lie algebra 8 so that 9(x) =x (*EG). Then dd is a faithful representation of g and exp dd(X) =0(exp X) =exp X for an...

A basic note on group representations and Schur’s lemma

Here we look at some basic results from group representation theory. Moreover, we discuss Schur’s Lemma in the context of R[G]-modules and provide some specialized results in that case.

On minimal degrees of faithful quasi-permutation representations of nilpotent groups

By a quasi-permutation matrix, we mean a square non-singular matrix over the complex field with non-negative integral trace....