✦ LIBER ✦

On Invariants ofF4and the Center of the Albert Algebra

✍ Scribed by A.V. Iltyakov; I.P. Shestakov

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 225 KB
Volume: 179
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0039

No coin nor oath required. For personal study only.

✦ Synopsis

Albert algebra A for any field F of characteristic / 2, 3.

📜 SIMILAR VOLUMES

Kummer Elements and the mod-3 Invariant

Kummer Elements and the mod-3 Invariant of Albert Algebras

✍ Maneesh Thakur 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 72 KB

Let k be a field with characteristic not 2 and 3. Assume that k contains the cube roots of unity. Let J be a Tits'-first-construction Albert division algebra over k. In this paper we relate Kummer elements in J with the mod-3 invariant g 3 J . We prove that if x ∈ J is a Kummer element with x 3 = λ,

On the Center of Quantized Enveloping Al

On the Center of Quantized Enveloping Algebras

✍ Pierre Baumann 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 266 KB

Let U be a quasitriangular Hopf algebra. One may use the R-matrix of U in order to construct scalar invariants of knots. Analogously, Reshetikhin wrote down tangle invariants which take their values in the center of U. Reshetikhin's expressions thus define central elements in U. We prove here an ide

The Center of the Quantized Matrix Algeb

The Center of the Quantized Matrix Algebra

✍ Hans Plesner Jakobsen; Hechun Zhang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 247 KB

We compute the center in the case where q is a root of unity. The main steps are to compute the degree of an associated quasipolynomial algebra and to compute the dimensions of some interesting irreducible modules.

Algebra Structure on the Hochschild Coho

Algebra Structure on the Hochschild Cohomology of the Ring of Invariants of a Weyl Algebra under a Finite Group

✍ Mariano Suarez Alvarez 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 139 KB

group of linear automorphisms of A . In this paper, we compute the multiplicative n ⅷ Ž G . structure on the Hochschild cohomology HH A of the algebra of invariants of n ⅷ Ž G . G. We prove that, as a graded algebra, HH A is isomorphic to the graded n algebra associated to the center of the group al

On the Center of the Enveloping Algebra

On the Center of the Enveloping Algebra of a Classical Simple Lie Superalgebra

✍ Ian M. Musson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 376 KB

On the Construction of Complete Sets of

On the Construction of Complete Sets of Geometric Invariants for Algebraic Curves

✍ Mustafa Unel; William A. Wolovich 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 153 KB

We provide a solution to the important problem of constructing complete independent sets of Euclidean and affine invariants for algebraic curves. We first simplify algebraic curves through polynomial decompositions and then use some classical geometric results to construct functionally independent s