Compatible pairs of Borel subalgebras and shared orbit pairs
نویسندگان
چکیده
منابع مشابه
Coideal Subalgebras and Quantum Symmetric Pairs
Coideal subalgebras of the quantized enveloping algebra are surveyed, with selected proofs included. The first half of the paper studies generators, Harish-Chandra modules, and associated quantum homogeneous spaces. The second half discusses various well known quantum coideal subalgebras and the implications of the abstract theory on these examples. The focus is on the locally finite part of th...
متن کاملKidney paired donation with compatible pairs.
We read with great interest the article Gentry et al. (1) which explores the impact of expanding kidney paired donation (KPD) through participation by compatible pairs. In their abstract they argue that this is a new paradigm of KPD and in their conclusion they indicate that the inclusion of recipients with compatible donors will greatly increase the number of incompatible pairs matched through...
متن کاملOrbit Correspondences for Real Reductive Dual Pairs
Suppose that V ,W be a symplectic space and a quadratic space respectively over R. Let g1,g2 be the Lie algebras of the groups of isometries of two spaces. Let τi :V ⊗RW → gi be the moment maps and O be the closure of a nilpotent orbit O in gi for i = 1 or 2. In this paper we show that τ3−i (τ −1 i (O )) is a union of at most two closures of nilpotent orbits in g3−i .
متن کاملSimultaneous Reducibility of Pairs of Borel Equivalence Relations
Let E ⊆ F and E′ ⊆ F ′ be Borel equivalence relations on the standard Borel spaces X and Y , respectively. The pair (E,F ) is simultaneously Borel reducible to the pair (E′, F ′) if there is a Borel function f : X → Y that is both a reduction from E to E′ and a reduction from F to F ′. Simultaneous Borel embeddings and isomorphisms are defined analogously. We classify all pairs E ⊆ F of smooth ...
متن کاملON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS
Let (G;N) be a pair of groups. In this article, first we con-struct a relative central extension for the pair (G;N) such that specialtypes of covering pair of (G;N) are homomorphic image of it. Second, weshow that every perfect pair admits at least one covering pair. Finally,among extending some properties of perfect groups to perfect pairs, wecharacterize covering pairs of a perfect pair (G;N)...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2015
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.10.035