Lie subalgebras of the matrix quantum pseudodifferential operators
DOI10.1155/2016/9218693zbMath1356.81240arXiv1603.05956OpenAlexW2962814641WikidataQ59122584 ScholiaQ59122584MaRDI QIDQ504704
Karina Batistelli, Carina Boyallian
Publication date: 17 January 2017
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05956
anti-involutionsalgebra of matrix quantum pseudodifferential operatorsLie subalgebras of minus fixed pointspreservation of principal gradation
Infinite-dimensional Lie (super)algebras (17B65) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Rings of differential operators (associative algebraic aspects) (16S32)
Cites Work
- Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
- Representations of classical Lie subalgebras of quantum pseudodifferential operators
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