Naslov
K-invariants in the algebra U(g) ⊗ C(p) for the group SU(2,1)

Autori
Prlić, Ana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
6th Croatian Mathematical Congress

Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016

Vrsta sudjelovanja
Poster

Vrsta recenzije
Nije recenziran

Ključne riječi
Liejeva algebra, K-invarijante
(Lie algebra, K-invariants)

Sažetak
Let g=k⊕p be the Cartan decomposition of the complexified Lie algebra g=sl(3, C) of the group G=SU(2, 1). Let K=S(U(2)×U(1)) ; so K is a maximal compact subgroup of G. Let U(g) be the universal enveloping algebra of g, and let C(p) be the Clifford algebra with respect to the trace form B(X, Y)=tr(XY) on p. We are going to prove that the algebra of K–invariants in U(g)⊗C(p) is generated by five explicitly given elements. This is useful for studying algebraic Dirac induction for (g, K)-modules. Along the way we will also recover the (well known) structure of the algebra U(g)^K.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA