Add to ORKGWe give an elementary combinatorial proof of a special case of a result due to Bazlov and Ion concerning the Fourier coefficients of the Cherednik kernel. This can be used to give yet another proof of the classical fact that for a complex simple Lie algebra, the partition formed by its exponents is dual to that formed by the numbers of positive roots at each height
Suppose g to be a complex semisimple Lie algebra. In 1955, Chevalley showed that one can assign to i...
Revising Nekhoroshev’s geometry of resonances, we provide a fully constructive and quantitative proo...
Two additional new theorems are posed and proven to estimate the magnitudes of roots of polynomials....
We give an elementary combinatorial proof of a special case of a result due to Bazlov and I...
AbstractThe centralizer of the principal nilpotent element of a finite-dimensional simple Lie algebr...
AbstractIn this paper we discuss some recent results on two different types of growth of Lie algebra...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
We note that a recent result of the second author yields upper bounds for odd-primary homotopy expon...
AbstractThis paper deals with the graded multiplicities of the “smallest” irreducible representation...
Let g be a complex semisimple Lie algebra,U(g) the enveloping algebra of g and PrimU(g) the set of p...
We prove Schinzel’s theorem about the lower bound of the Mahler measure of totally real polynomials....
We study codimension growth of infinite dimensional Lie algebras over a field of characteristic zero...
ABSTRACT. LetG be a simple algebraic group over the complex numbers containing a Borel subgroupB. Gi...
We present some results about the irreducible representations appearing in the exterior algebra $\La...
AbstractBy the Giambruno–Zaicev theorem (Giambruno and Zaicev, 1999) [5], the exponent exp(A) of a p...
Suppose g to be a complex semisimple Lie algebra. In 1955, Chevalley showed that one can assign to i...
Revising Nekhoroshev’s geometry of resonances, we provide a fully constructive and quantitative proo...
Two additional new theorems are posed and proven to estimate the magnitudes of roots of polynomials....
We give an elementary combinatorial proof of a special case of a result due to Bazlov and I...
AbstractThe centralizer of the principal nilpotent element of a finite-dimensional simple Lie algebr...
AbstractIn this paper we discuss some recent results on two different types of growth of Lie algebra...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
We note that a recent result of the second author yields upper bounds for odd-primary homotopy expon...
AbstractThis paper deals with the graded multiplicities of the “smallest” irreducible representation...
Let g be a complex semisimple Lie algebra,U(g) the enveloping algebra of g and PrimU(g) the set of p...
We prove Schinzel’s theorem about the lower bound of the Mahler measure of totally real polynomials....
We study codimension growth of infinite dimensional Lie algebras over a field of characteristic zero...
ABSTRACT. LetG be a simple algebraic group over the complex numbers containing a Borel subgroupB. Gi...
We present some results about the irreducible representations appearing in the exterior algebra $\La...
AbstractBy the Giambruno–Zaicev theorem (Giambruno and Zaicev, 1999) [5], the exponent exp(A) of a p...
Suppose g to be a complex semisimple Lie algebra. In 1955, Chevalley showed that one can assign to i...
Revising Nekhoroshev’s geometry of resonances, we provide a fully constructive and quantitative proo...
Two additional new theorems are posed and proven to estimate the magnitudes of roots of polynomials....