The Prime Spectrum of a Quantum Bruhat Cell Translate
نویسنده
چکیده
The prime spectra of two families of algebras, Sw and Šw, w ∈ W, indexed by the Weyl group W of a semisimple finitely dimensional Lie algebra g, are studied in the spirit of [J3]. The algebras Sw have been introduced by A. Joseph (see [J4], Sect. 3). They are q-analogues of the algebras of regular functions on w-translates of the open Bruhat cell of a semisimple Lie group G corresponding to the Lie algebra g. We define a stratification of the spectra into components indexed by pairs (y1, y2) of elements of the Weyl group satisfying y1 ≤ w ≤ y2. Each component admits a unique minimal ideal which is explicitly described. We show the inclusion relation of closures to be that induced by Bruhat order. The work was partially supported by the Hirsch and Braine Raskin Foundation.
منابع مشابه
Algebraic and topological aspects of quasi-prime ideals
In this paper, we define the new notion of quasi-prime ideal which generalizes at once both prime ideal and primary ideal notions. Then a natural topology on the set of quasi-prime ideals of a ring is introduced which admits the Zariski topology as a subspace topology. The basic properties of the quasi-prime spectrum are studied and several interesting results are obtained. Specially, it is pro...
متن کاملApplications of Quantum Dots in Cell Tracking
Tracking cells after transplantation is always one the main concerns of researchers in the field of regenerative medicine. Finding a tracer with long stability and low cytotoxicity can be considered as a solution for this issue. Semiconductor nanocrystals, also called quantum dots (QDs), have unique photophysical properties which make them as suitable candidate in this setting. Broad-range exci...
متن کاملSPECTRUM OF PRIME FUZZY HYPERIDEALS
Let R be a commutative hyperring with identity. We introduceand study prime fuzzy hyperideals of R. We investigate the Zariski topologyon FHspec(R), the spectrum of prime fuzzy hyperideals of R.
متن کاملCharacterizations of the simple group $D_{n}(3)$ by prime graph and spectrum
We prove that $D_n(3)$, where $ngeq6$ is even, is uniquely determined by its prime graph. Also, if $G$ is a finite group with the same prime graph as $D_4(3)$, then $Gcong D_4(3), B_3(3), C_3(3)$ or $G/O_2(G)cong {rm Aut}({}^2B_2(8))$.
متن کامل