The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
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Publication:4875827
DOI10.2307/2155040zbMath0847.17010OpenAlexW4250860670MaRDI QIDQ4875827
Yaroslav Krylyuk, Erhard Neher, Stephen Berman, Yun Gao
Publication date: 15 October 1996
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2155040
Related Items (34)
Derivations and invariant forms of Jordan and alternative tori ⋮ A class of integrable modules for the core of EALA coordinatized by quantum tori ⋮ Unitary Modules for EALAs Co-ordinatized by a Quantum Torus ⋮ Lie tori -- a simple characterization of extended affine Lie algebras ⋮ \(BC_{N}\)-graded Lie algebras arising from fermionic representations ⋮ Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core ⋮ Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori ⋮ Chevalley involutions for Lie tori and extended affine Lie algebras ⋮ Twisted modules for toroidal vertex algebras ⋮ Structurable Tori ⋮ Lie bialgebra structures on the extended affine Lie algebra \(\widetilde {\mathfrak {sl}_2(\mathbb C_q)}\) ⋮ Realization of graded-simple algebras as loop algebras ⋮ Structurable tori and extended affine Lie algebras of type BC\(_{1}\). ⋮ On conjugacy of Cartan subalgebras in extended affine Lie algebras ⋮ Nonreduced extended affine Weyl groups. ⋮ Vertex algebras and extended affine Lie algebras coordinated by rational quantum tori ⋮ On the relation of extended affine Weyl groups and indefinite Weyl groups. ⋮ Alternative quasialgebras ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ Hermitian representations of a TKK algebra ⋮ Irreducible Representations for the Baby Tits–Kantor–Koecher Algebra ⋮ A Generalization of Extended Affine Lie Algebras ⋮ Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids ⋮ A presentation for reduced extended affine weyl groups ⋮ Derivations of multi-loop algebras ⋮ Multiloop realization of extended affine Lie algebras and Lie tori ⋮ Extended affine Weyl groups ⋮ Classification of quasifinite modules with nonzero central charges for EALAs of type A with coordinates in quantum torus ⋮ On automorphisms and isomorphisms of quasi-simple Lie algebras ⋮ Construction of extended affine lie algebras by the twisting process ⋮ Coordinate algebras of extended affine Lie algebras of type \(A_1\) ⋮ Classification of division \({\mathbb Z}^n\)-graded alternative algebras. ⋮ Covering algebras. I: Extended affine Lie algebras ⋮ The centroid of extended affine and root graded Lie algebras
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