Journal of Lie Theory

no. 3
Generalized Gelfand Pairs Associated to Heisenberg Type Groups
Journal of Lie Theory, Volume 18 (2008) no. 3, pp. 503-515
Let ${\frak N}={\frak Z}\oplus V$ be the Lie algebra corresponding to a group of Heisenberg type N. Assume that $V$ is an irreducible Clifford module. In this article we determine the generalized Gelfand pairs $(K,{\rm N})$, where $K$ is the group of automorphisms of $\frak N$ that preserve $V$.
DOI: 10.5802/jolt.507
Classification: 43A80, 17B10
Keywords: Gelfand pair, group of type H 
@article{JOLT_2008_18_3_a0,
     author = {F. Levstein and L. Saal},
     title = {Generalized {Gelfand} {Pairs} {Associated} to {Heisenberg} {Type} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {503--515},
     year = {2008},
     volume = {18},
     number = {3},
     doi = {10.5802/jolt.507},
     zbl = {1205.43007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.507/}
}
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%A L. Saal
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F. Levstein; L. Saal. Generalized Gelfand Pairs Associated to Heisenberg Type Groups. Journal of Lie Theory, Volume 18 (2008) no. 3, pp. 503-515. doi: 10.5802/jolt.507

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