AbstractWe apply the Weil conjectures to the Hessenberg varieties to obtain information about the combinatorics of descents in the symmetric group. Combining this with elementary linear algebra leads to elegant proofs of some identities from the theory of descents
AbstractAn elementary proof of the Weil conjectures is given for the special case of a non-singular ...
It is well-known that the Eulerian polynomials, which count permutations in S_n by their number of d...
AbstractIn a recent paper, Brenti shows that enumerating a conjugacy class of Sn with respect to exc...
We apply the Weil conjectures to the Hessenberg Varieties to obtain information about the combinator...
Regular semisimple Hessenberg varieties are a family of subvarieties of the flag variety that arise ...
This paper studies the geometry and combinatorics of three interrelated varieties: Springer fibers, ...
AbstractA multivariate generating function involving the descent, major index, and inversion statist...
We consider bases for the cohomology space of regular semisimple Hessenberg varieties, consisting of...
We study subvarieties of the flag variety called Hessenberg varieties, defined by certain linear con...
We construct a concrete isomorphism from the permutohedral variety to the regular semisimple Hessenb...
AbstractBy algebraic group theory, there is a map from the semisimple conjugacy classes of a finite ...
Hessenberg varieties are subvarieties of the flag variety parametrized by a linear operator X and a ...
We continue our study of the Springer correspondence in the case of symmetric spaces initiated in ou...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
AbstractThe number of permutations with given cycle structure and descent set is shown to be equal t...
AbstractAn elementary proof of the Weil conjectures is given for the special case of a non-singular ...
It is well-known that the Eulerian polynomials, which count permutations in S_n by their number of d...
AbstractIn a recent paper, Brenti shows that enumerating a conjugacy class of Sn with respect to exc...
We apply the Weil conjectures to the Hessenberg Varieties to obtain information about the combinator...
Regular semisimple Hessenberg varieties are a family of subvarieties of the flag variety that arise ...
This paper studies the geometry and combinatorics of three interrelated varieties: Springer fibers, ...
AbstractA multivariate generating function involving the descent, major index, and inversion statist...
We consider bases for the cohomology space of regular semisimple Hessenberg varieties, consisting of...
We study subvarieties of the flag variety called Hessenberg varieties, defined by certain linear con...
We construct a concrete isomorphism from the permutohedral variety to the regular semisimple Hessenb...
AbstractBy algebraic group theory, there is a map from the semisimple conjugacy classes of a finite ...
Hessenberg varieties are subvarieties of the flag variety parametrized by a linear operator X and a ...
We continue our study of the Springer correspondence in the case of symmetric spaces initiated in ou...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
AbstractThe number of permutations with given cycle structure and descent set is shown to be equal t...
AbstractAn elementary proof of the Weil conjectures is given for the special case of a non-singular ...
It is well-known that the Eulerian polynomials, which count permutations in S_n by their number of d...
AbstractIn a recent paper, Brenti shows that enumerating a conjugacy class of Sn with respect to exc...
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