منابع مشابه
Corecursive Algebras, Corecursive Monads and Bloom Monads
An algebra is called corecursive if from every coalgebra a unique coalgebra-toalgebra homomorphism exists into it. We prove that free corecursive algebras are obtained as coproducts of the terminal coalgebra (considered as an algebra) and free algebras. The monad of free corecursive algebras is proved to be the free corecursive monad, where the concept of corecursive monad is a generalization o...
متن کاملThe Geometry of Spaces of Eight Points in Projective Space (dualities, Representation Theory, and Lie Theory)
To be written.
متن کاملThe Geometry of Eight Points in Projective Space: Representation Theory, Lie Theory, Dualities
This paper deals with the geometry of the space (GIT quotient) M8 of 8 points in P, and the Gale-quotient N ′ 8 of the GIT quotient of 8 points in P. The space M8 comes with a natural embedding in P, or more precisely, the projectivization of the S8-representation V4,4. There is a single S8-skew cubic C in P. The fact that M8 lies on the skew cubic C is a consequence of Thomae’s formula for hyp...
متن کاملAzumaya Monads and Comonads
The definition of Azumaya algebras over commutative rings R requires the tensor product of modules over R and the twist map for the tensor product of any two R-modules. Similar constructions are available in braided monoidal categories, and Azumaya algebras were defined in these settings. Here, we introduce Azumaya monads on any category A by considering a monad (F,m, e) on A endowed with a dis...
متن کاملMonads and D-instantons
Motivated by twisted N = 4 supersymmetric Yang-Mills theory in 4 dimensions, a natural extension of the monad (ADHM) construction relevant to D-instantons is considered. We show that a family of Yang-Mills instantons can be constructed from D-instantons. We discuss some possible roles of reciprocity in D-brane physics. We conjecture the existence of universal instantons together with a generali...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.05.021