Putcha, Mohan S.
Published in
Forum Mathematicum

Let M be a reductive monoid. If e is an idempotent in M, we prove that the centralizer M(e) of e in M is a regular monoid with a finite graded poset of 𝒥$\mathcal {J}$ -classes. We compute this poset explicitly when M is of canonical or dual canonical type and e is the relevant pivotal idempotent.

Funar, Louis Kohno, Toshitake
Published in
Forum Mathematicum

We prove that, except for a few explicit roots of unity, the quantum image of any Johnson subgroup of the mapping class group contains an explicit free non-abelian subgroup.

Seeliger, Nora
Published in
Forum Mathematicum

In his Inventiones paper, Ziller (1977) computed the integral homology as a graded abelian group of the free loop space of compact, globally symmetric spaces of rank 1. Chas and Sullivan (1999) showed that the homology of the free loop space of a compact closed orientable manifold can be equipped with a loop product and a BV-operator making it a Ba...

Dolinka, Igor
Published in
Forum Mathematicum

Based on an idea of Y. Péresse and some results of Maltcev, Mitchell and Ruškuc, we present sufficient conditions under which the endomorphism monoid of a countably infinite ultrahomogeneous first-order structure has the Bergman property. This property has played a prominent role both in the theory of infinite permutation groups and, more recently,...

Tang, Lin
Published in
Forum Mathematicum

The Dirichlet and Neumann problems of heat equation with certain potentials of the form ∂ t -Δ+V=0$\partial _t-\Delta +V=0$ in Lipschitz cylinders are studied, where V is a nonnegative potential satisfying certain conditions.

Louvel, Benoît
Published in
Forum Mathematicum

Using the theory of metaplectic forms, we study the asymptotic behavior of cubic exponential sums over the ring of Eisenstein integers. In the first part of the paper, some non-trivial estimates on average over arithmetic progressions are obtained. In the second part of the paper, we prove that the sign of cubic exponential sums changes infinitely ...

Viet, Duong Quoc Thanh, Truong Thi Hong
Published in
Forum Mathematicum

This paper gives the additivity and reduction formulas for mixed multiplicities of multi-graded modules M and mixed multiplicities of arbitrary ideals, and establishes the recursion formulas for the sum of all the mixed multiplicities of M. As an application of these formulas we get the recursion formulas for the multiplicity of multi-graded Rees m...

Borcea, Ciprian S.
Published in
Forum Mathematicum

We prove, with a short argument based on projective algebraic geometry, that all linear symmetries of the cone of positive semidefinite quadratic forms come from linear transformations of the variables.

Sánchez, Javier
Published in
Forum Mathematicum

Let K be a skew field and (G,

Cerri, Andrea Di Fabio, Barbara
Published in
Forum Mathematicum

The concept of natural pseudo-distance has proven to be a powerful tool for measuring the dissimilarity between shape properties of topological spaces, modeled as continuous real-valued functions defined on the spaces themselves. Roughly speaking, the natural pseudo-distance is defined as the infimum of the change of the functions' values, when mov...