منابع مشابه
Embeddings of Symmetric Varieties
We generalize to the case of a symmetric variety the construction of the enveloping semigroup of a semisimple algebraic group due to E.B. Vinberg, and we establish a connection with the wonderful completion of the associated adjoint symmetric variety due to C. De Concini and C.
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Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and surprisingly, no finite monoid is known to generate a monoid variety with countably infinitely many subvarieties. In the present article, it is shown that there are, nevertheless, many finite monoids that generate monoid varieties with continuum many subvarieties; these include any finite inherently ...
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We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop many notions for monoid schemes based on classical algebraic geometry, such as separ...
متن کاملTamari Lattices and the symmetric Thompson monoid
We investigate the connection between Tamari lattices and the Thompson group F , summarized in the fact that F is a group of fractions for a certain monoid F sym whose Cayley graph includes all Tamari lattices. Under this correspondence, the Tamari lattice operations are the counterparts of the least common multiple and greatest common divisor operations in F sym. As an application, we show tha...
متن کاملSYMMETRIC k - VARIETIES
Let G be a connected reductive algebraic group defined over a field k of characteristic not 2, θ an involution of G defined over k, H a k-open subgroup of the fixed point group of θ and Gk (resp. Hk) the set of k-rational points of G (resp. H). The variety Gk/Hk is called a symmetric k-variety. For k = R and C the representation theory of these varieties has been studied extensively. To study t...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2019
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm7644-7-2018