Cohomology of 3-dimensional color Lie algebras
From MaRDI portal
Publication:2464487
DOI10.1016/j.jalgebra.2006.11.008zbMath1141.17023arXivmath/0508573OpenAlexW1969298896WikidataQ115351493 ScholiaQ115351493MaRDI QIDQ2464487
Dmitri Piontkovski, Sergei D. Silvestrov
Publication date: 21 December 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0508573
Color Lie (super)algebras (17B75) Cohomology of Lie (super)algebras (17B56) Quadratic and Koszul algebras (16S37)
Related Items (17)
About Filiform Lie Algebras of Order 3 ⋮ On the structure of graded Lie algebras of order 3 ⋮ Classification of filiform Lie algebras of order 3 ⋮ Infinitesimal deformations of filiform Lie algebras of order 3 ⋮ Color hom-Lie algebras, color hom-Leibniz algebras and color omni-hom-Lie algebras ⋮ \(\mathbb{Z}_2\times\mathbb{Z}_2\)-generalizations of infinite-dimensional Lie superalgebra of conformal type with complete classification of central extensions ⋮ Split Lie algebras of order 3 ⋮ Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras ⋮ How Euler would compute the Euler-Poincaré characteristic of a Lie superalgebra ⋮ On the structure of split Lie color algebras ⋮ Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations ⋮ Extensions of hom-Lie color algebras ⋮ Gradings and symmetries on Heisenberg type algebras ⋮ Filiform Lie algebras of order 3 ⋮ Enveloping algebras of color hom-Lie algebras ⋮ Quasi-Deformations of 𝔰𝔩2(𝔽) Using Twisted Derivations ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Representations and cocycle twists of color Lie algebras
- Koszul algebras and their ideals.
- Functions of noncommuting operators that generate a graded Lie algebra
- Infinite dimensional Lie superalgebras
- The second cohomology of \(\text{sl}(m|1)\) with coefficients in its enveloping algebra is trivial
- Central elements of the second order in three-dimensional generalised Lie algebras
- Initially Koszul algebras
- Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
- Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
- Note on the cohomology of color Hopf and Lie algebras
- Casimir elements of ε Lie algebras
- Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
- Graded tensor calculus
- Non-Lie permutation relations
- Bosonic Realizations of the Colour Heisenberg Lie Algebra
- Casimir invariants, characteristic identities, and Young diagrams for color algebras and superalgebras
- Commutation factors on generalized Lie algebras
- Clifford- and Grassmann-like algebras—Old and new
- Generalized Lie algebras
- Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
- Koszul property for points in projective spaces
- Strongly Koszul algebras
- Cohomology of Lie superalgebras and their generalizations
- Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions
- Koszul Duality Patterns in Representation Theory
- Koszul Resolutions
- Lie superalgebras
- Primeness criteria for universal enveloping algebras of Lie color algebras
- Canonical involutions in three-dimensional generalised Lie algebras
This page was built for publication: Cohomology of 3-dimensional color Lie algebras