Extremal weights of finite-dimensional representations of the Lie superalgebragl n/m

Autor:	G. I. Ol'shanskii, M. C. Prati
Rok vydání:	1985
Předmět:	Physics Pure mathematics Conjugacy class Representation of a Lie group Representation theory of SU Simple Lie group Fundamental representation Creation and annihilation operators Group theory Fock space
Zdroj:	Il Nuovo Cimento A. 85:1-18
ISSN:	1826-9869 0369-3546
DOI:	10.1007/bf02902385
Popis:	We investigate a class of irreducible finite-dimensional representations of the Lie superalgebragln/m, which are constructed in terms of creation and annihilation operators acting in certain Fock superspaces. For these representations we calculate the highest weights relative to representatives of all (n+m)!/n!m! conjugacy classes of Borel subalgebras ofgln/m.
Databáze:	OpenAIRE
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