Codimension growth of central polynomials of Lie algebras
-
Antonio Giambruno
and
Mikhail Zaicev
Abstract
Let L be a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic zero and let I be the T-ideal of polynomial identities of the adjoint representation of L.
We prove that the number of multilinear central polynomials in n variables, linearly independent modulo I, grows exponentially like
Funding source: Russian Science Foundation
Award Identifier / Grant number: 16-11-10013
Funding statement: The second author was supported by the Russian Science Foundation, grant 16-11-10013.
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Articles in the same Issue
- Frontmatter
- On the distribution of zeros of derivatives of the Riemann ξ-function
- Representations of constant socle rank for the Kronecker algebra
- Abstract bivariant Cuntz semigroups II
- Curves on Segre threefolds
- 𝒩(p, q, s)-type spaces in the unit ball of ℂn(II): Carleson measure and its application
- On a class of critical Robin problems
- On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
- Spectral asymptotics for Krein–Feller operators with respect to 𝑉-variable Cantor measures
- Schneider–Siegel theorem for a family of values of a harmonic weak Maass form at Hecke orbits
- Modified energy method and applications for the well-posedness for the higher-order Benjamin–Ono equation and the higher-order intermediate long wave equation
- Some remarks on products of sets in the Heisenberg group and in the affine group
- Codimension growth of central polynomials of Lie algebras
- Unramified Whittaker functions for certain Brylinski–Deligne covering groups
- Tilting classes over commutative rings
