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Your search keyword '"Algebraic geometry"' showing total 2 results
2 results on '"Algebraic geometry"'

1. Irreducible representations over the diamond Lie algebra.

Author

Liu, Dong, Pei, Yufeng, and Xia, Limeng

Subjects
LIE algebras, REPRESENTATION theory, MODULES (Algebra), EUCLIDEAN geometry, ALGEBRAIC geometry
Abstract

In this paper, we use Block’s results to classify irreducible modules over the diamond Lie algebra𝔇. As a corollary, we also give a classification of irreducible modules over the Euclidean algebra𝔢(2). [ABSTRACT FROM PUBLISHER]

Published
2018
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2. Irreducible weight modules for the Virasoro-like algebra and its q -analog.

Author

Guo, Xiangqian, Liu, Xuewen, and Wei, Zhen

Subjects
IRREDUCIBLE polynomials, ALGEBRAIC geometry, MODULES (Algebra), MATHEMATICAL functions, ALGEBRAIC spaces
Abstract

In this paper, using Larsson’s functor with irreducible𝔰𝔩2-modulesV, we construct a class ofℤ2-graded modules for the Virasoro-like algebra and itsq-analogs. We determine the irreducibility of these modules for finite-dimensional or infinite-dimensionalVusing a unified method. In particular, these modules provide new irreducible weight modules with infinite-dimensional weight spaces for the corresponding algebras. [ABSTRACT FROM PUBLISHER]

Published
2017
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