Characteristic identities for semi-simple Lie algebras
From MaRDI portal
Publication:3676309
DOI10.1017/S0334270000004501zbMath0563.17009OpenAlexW2162183087MaRDI QIDQ3676309
Publication date: 1985
Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0334270000004501
universal enveloping algebrapolynomial identitiessemisimple Lie algebracharacteristic polynomial identityminimum polynomial identity
Universal enveloping (super)algebras (17B35) Matrix equations and identities (15A24) Simple, semisimple, reductive (super)algebras (17B20)
Related Items
Segal-Sugawara vectors for the Lie algebra of type \(G_2\), Unnamed Item, Algebraic properties of Manin matrices. I, Casimir invariants and infinitesimal characters for semi-simple Lie algebras, Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n), Multiplicity-free Wigner coefficients for semisimple Lie groups. I. The U(n) pattern calculus, Quantum matrix algebras of BMW type: structure of the characteristic subalgebra, Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras, Descriptions of strongly multiplicity free representations for simple Lie algebras, The centralizer construction and Yangian-type algebras, Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n), On characteristic equations, trace identities and Casimir operators of simple Lie algebras, Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n), Generalized projective representations for \(\mathrm{sl}(n+1)\), \(q\)-index on braided non-commutative spheres, KZ equation, G-opers, quantum Drinfeld-Sokolov reduction, and quantum Cayley-Hamilton identity, Representations of classical Lie groups and quantized free convolution