In mathematics, the main results concerning irreducible unitary representations of the Lie group SL(2, R) are due to Gelfand and Naimark (1946), ... Finite-dimensional... · Admissible representations

28 мар. 2015 г. · Every finite-dimensional representation of sl(2,k) is isomorphic to a direct sum of copies of V (m). 3. The element H acts diagonalizably with ...

13 янв. 2021 г. · representations of sl(2,C)} given by n 7→ Symn−1(V). Every representation of sl(2,C) is a direct sum of these irreducible representations.

The irreducible representations of sl2(C) form the foundation of the representation theory of finite dimensional Lie algebras.

Representations of SL2(C). We have the following classification result. Proposition 2.8. Every rational representation of SL2(C) is completely reducible.

In this notes we describe the Clebsch-Gordan rule for sl(2, C), which gives a decomposition of tensor products of irreducible representations into irreducibles.

1 нояб. 2020 г. · In this essay I hope to explain what is needed about representations of SL2(R) in the elementary parts of the theory of automorphic forms.

This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provides the simplicity required for a complete description of ...

We want to classify all its finite-dimensional modules. Since sl2 is simple, it is semisimple (see. Example 5.11). Thus by Weyl's Theorem 6.14 it is enough to ...

22 Representations of SL2. Finite dimensional complex representations of the following are much the same: SL2(R), sl2R, sl2C (as a complex Lie algebra), su2R ...