An explicit formula for the canonical bilinear form on Grothendieck ring of Lie supergroup G L ( n , m ) is given. As an application we get algorithm decomposition Euler characters in terms irreducible modules category partially polynomial modules.

We extend the map Exp for elliptic curves in short Weierstrass form over $ \mathbb{C} to Edwards local fields. Subsequently, we compute field \mathbb{Q}_{p} of p $-adic numbers.

The Jordan canonical form parametrises similarity classes in the nilpotent cone Nn, consisting of n× n nilpotent complex matrices, by partitions of n. Achar and Henderson (2008) extended this and other well-known results about Nn to the case of the enhanced nilpotent cone C ×Nn. 1. Jordan canonical form The Jordan canonical form (JCF), introduced in 1870 [10], is one of the most useful tools in...