Tohoku Mathematical Journal

Classification of simple $\mathfrak{q}_2$-supermodules

Volodymyr Mazorchuk

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We classify all simple supermodules over the queer Lie superalgebra $\mathfrak{q}_2$ up to classification of equivalence classes of irreducible elements in a certain Euclidean ring.

Article information

Tohoku Math. J. (2), Volume 62, Number 3 (2010), 401-426.

First available in Project Euclid: 15 October 2010

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 17B10: Representations, algebraic theory (weights)
Secondary: 17B35: Universal enveloping (super)algebras [See also 16S30]


Mazorchuk, Volodymyr. Classification of simple $\mathfrak{q}_2$-supermodules. Tohoku Math. J. (2) 62 (2010), no. 3, 401--426. doi:10.2748/tmj/1287148620.

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