Articles with "harish chandra" as a keyword



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Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra

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Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2020.11.016

Abstract: Abstract We classify Jet modules for the Lie (super)algebras L = W ⋉ ( g ⊗ C [ t , t − 1 ] ) , where W is the Witt algebra and g is… read more here.

Keywords: super algebras; modules map; harish chandra; simple harish ... See more keywords

On the annihilator variety of a highest weight Harish-Chandra module

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Published in 2024 at "Communications in Algebra"

DOI: 10.1080/00927872.2025.2483883

Abstract: Abstract Let G be a Hermitian type Lie group with a maximal compact subgroup K. Let L(λ) be a highest weight Harish-Chandra module of G with infinitesimal character λ . By using some combinatorial algorithm,… read more here.

Keywords: chandra module; weight harish; harish chandra; annihilator variety ... See more keywords

Extensions of the constant family of Harish-Chandra pairs of SL 2 (ℝ)

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Published in 2024 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498827500629

Abstract: We study and classify algebraic families of Harish-Chandra pairs (𝔤, K) over the complex affine line and over the complex projective line, with K a constant family of groups, such that the restriction of (𝔤,… read more here.

Keywords: extensions constant; constant family; harish chandra; family harish ... See more keywords