Results 41 to 50 of about 9,361 (158)

Reduced zeta functions of Lie algebras

, 2009
We define reduced zeta functions of Lie algebras, which can be derived from motivic zeta functions using the Euler characteristic. We show that reduced zeta functions of Lie algebras possessing a suitably well-behaved basis are easy to analyse.
Evseev, Anton
core   +1 more source

Abelian ideals and the variety of Lagrangian subalgebras

Journal of Pure and Applied Algebra
For a semisimple algebraic group $G$ of adjoint type with Lie algebra $\mathfrak g$ over the complex numbers, we establish a bijection between the set of closed orbits of the group $G \ltimes \mathfrak g^{\ast}$ acting on the variety of Lagrangian subalgebras of $\mathfrak g \ltimes \mathfrak g^{\ast}$ and the set of abelian ideals of a fixed Borel ...
Sam Evens, Yu Li
openaire   +3 more sources

New types of hesitant fuzzy sets on UP-algebras [PDF]

Mathematica Moravica, 2018
The concepts of sup-hesitant fuzzy UP-subalgebras, sup- hesitant fuzzy UP-filters, sup-hesitant fuzzy UP-ideals, and sup-hesitant fuzzy strongly UP-ideals are introduced, proved some results and discussed the generalizations of these concepts ...
Phakawat Mosrijai, Akarachai Satirad, Aiyared Iampan   +2 more
doaj  

Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms [PDF]

Neutrosophic Sets and Systems, 2020
Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras.
Anas Al-Masarwah, Abd Ghafur Ahmad
doaj   +1 more source

Obstructing extensions of the functor Spec to noncommutative rings

, 2011
In this paper we study contravariant functors from the category of rings to the category of sets whose restriction to the full subcategory of commutative rings is isomorphic to the prime spectrum functor Spec.
A. L. Rosenberg, A. L. Rosenberg, B. Fuglede, C. Heunen, C. Procesi, E. S. Letzter, F.M. J. Oystaeyen Van, I. Schur, K. R. Davidson, M. Artin, Manuel L. Reyes, N. Jacobson, O. Goldman, P. M. Cohn, R. V. Kadison, S. Kochen, S. Mac Lane, S. P. Smith, T. Y. Lam   +18 more
core   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Hybrid Ideals of BCK/BCI-Algebras

Axioms, 2020
The notion of hybrid ideals in B C K / B C I -algebras is introduced, and related properties are investigated. Characterizations of hybrid ideals are discussed.
Kyung-Tae Kang, Seok-Zun Song, Eun Hwan Roh, Young Bae Jun   +3 more
doaj   +1 more source

Inner Ideals of Simple Locally Finite Lie Algebras

, 2013
Inner ideals of simple locally finite dimensional Lie algebras over an algebraically closed field of characteristic 0 are described. In particular, it is shown that a simple locally finite dimensional Lie algebra has a non-zero proper inner ideal if and ...
A.A. Baranov, Bahturin, Bahturin, Bahturin, Baranov, Baranov, Baranov, Baranov, Baranov, Baranov, Baranov, Beidar, Benkart, Benkart, Benkart, Draper, Fernández López, Fernández López, Fernández López, Fernández López, J. Rowley, Jacobson   +21 more
core   +1 more source

A note on relative Gelfand–Fuks cohomology of spheres

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley   +1 more source