Naslov
Representation theoretic embedding of twisted Dirac operators

Autori
Mehdi, Salah ; Pandžić, Pavle

Izvornik
Representation theory (1088-4165) 25 (2021); 760-779

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Dirac operators, Lie groups, spin, representations, SL(2, R)

Sažetak
Let G be a non-compact connected semisimple real Lie group with finite center. Suppose L is a non- compact connected closed subgroup of G acting transitively on a symmetric space G/H such that L\cap H is compact. We study the action on L/L\cap H of a Dirac operator D_{; ; G/H}; ; (E) acting on sections of an E-twist of the spin bundle over G/H. As a byproduct, in the case of (G, H, L)= (SL(2, R) x SL(2, R), \Delta(SL(2, R) x SL(2, R)), SL(2, R) x SO(2)), we identify certain representations of L which lie in the kernel of D_{; ; G/H}; ; (E).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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