Generalized Clifford theory for graded spaces
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Publication:888840
DOI10.1016/j.jpaa.2015.07.010zbMath1327.15051OpenAlexW1136073126MaRDI QIDQ888840
Publication date: 2 November 2015
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.07.010
Color Lie (super)algebras (17B75) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Exterior algebra, Grassmann algebras (15A75)
Related Items (5)
Graded Clifford algebras and graded skew Clifford algebras and their role in the classification of Artin-Schelter regular algebras ⋮ The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras ⋮ Dirac operators on quadratic Lie superalgebras ⋮ Skew Clifford algebras ⋮ Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras
Cites Work
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- Clifford algebra analogue of the Hopf-Koszul-Samelson theorem, the \(\rho\)-decomposition \(C({\mathfrak g})=\text{End }V_ \rho\otimes C(P)\), and the \({\mathfrak g}\)-module structure of \(\bigwedge {\mathfrak g}\)
- Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
- Graded generalizations of Weyl- and Clifford algebras
- Central singularities of quantum spaces
- Graded tensor calculus
- Generalizations of graded Clifford algebras and of complete intersections
- Generalized Lie algebras
- The centralizer algebras of lie color algebras
- Cohomology of Lie superalgebras and their generalizations
- Clifford Algebras and Lie Theory
- ON A GENERALIZED CLIFFORD ALGEBRA
- The Weyl algebra and the structure of all Lie superalgebras of Riemannian type
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