Principal Galois orders and Gelfand-Zeitlin modules

@article{Hartwig2017PrincipalGO,
  title={Principal Galois orders and Gelfand-Zeitlin modules},
  author={Jonas Torbj{\"o}rn Hartwig},
  journal={arXiv: Representation Theory},
  year={2017}
}
  • J. Hartwig
  • Published 11 October 2017
  • Mathematics
  • arXiv: Representation Theory
A study of Galois and flag orders
Galois orders, introduced in 2010 by V. Futorny and S. Ovsienko, form a class of associative algebras that contain many important examples, such as the enveloping algebra of gln (as well as its
Harish–Chandra modules over invariant subalgebras in a skew-group ring
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Gelfand-Tsetlin modules in the Coulomb context
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An Alternating Analogue of $U(\mathfrak{gl}_n)$ and its Representations
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Let M(n) be the algebra (both Lie and associative) of n × n matrices over ℂ. Then M(n) inherits a Poisson structure from its dual using the bilinear form (x, y) = −tr xy. The Gl(n) adjoint orbits are
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