On Segal–Sugawara vectors and Casimir elements for classical Lie algebras
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DOI: 10.1007/s11005-020-01344-3
Abstract: We consider the centers of the affine vertex algebras at the critical level associated with simple Lie algebras. We derive new formulas for generators of the centers in the classical types. We also give a… read more here.
Keywords: lie; lie algebras; classical lie; sugawara vectors ... See more keywords
Classical Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave system
Sign Up to like & getrecommendations! Published in 2020 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557121500522
Abstract: In the present work, classical Lie symmetry method is adopted to obtain the Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave equation. We also demonstrate th... read more here.
Keywords: reductions dimensional; dimensional dispersive; lie symmetries; classical lie ... See more keywords
Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic
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DOI: 10.1515/forum-2023-0326
Abstract: Abstract Let 𝔤 = 𝔤 0 ¯ ⊕ 𝔤 1 ¯ {{\mathfrak{g}}={\mathfrak{g}}_{\bar{0}}\oplus{\mathfrak{g}}_{\bar{1}}} be a basic classical Lie superalgebra over an algebraically closed field 𝐤 {{\mathbf{k}}} of characteristic p > 2 {p>2} . Denote by 𝒵… read more here.
Keywords: basic classical; algebra; classical lie; purely even ... See more keywords