Grassmanians and Representations
نویسندگان
چکیده
In this note we use Bott-Borel-Weil theory to compute cohomology of interesting vector bundles on sequences of Grassmanians.
منابع مشابه
Factorization of Kazhdan–Lusztig elements for Grassmanians
We show that the Kazhdan-Lusztig basis elements Cw of the Hecke algebra of the symmetric group, when w ∈ Sn corresponds to a Schubert subvariety of a Grassmann variety, can be written as a product of factors of the form Ti + fj(v), where fj are rational functions.
متن کاملA Universal Investigation of $n$-representations of $n$-quivers
noindent We have two goals in this paper. First, we investigate and construct cofree coalgebras over $n$-representations of quivers, limits and colimits of $n$-representations of quivers, and limits and colimits of coalgebras in the monoidal categories of $n$-representations of quivers. Second, for any given quivers $mathit{Q}_1$,$mathit{Q}_2$,..., $mathit{Q}_n$, we construct a new quiver $math...
متن کاملHomology rigidity of Grassmannians Dedicated to Professor Wenjun Wu on his 90th birthday
Applying the theory of Gröbner basis to the Schubert presentation for the cohomology of Grassmannians [DZ1], we extend the homology rigidity results known for the classical Grassmanians to the exceptional cases. 2000 Mathematics subject classification: 55S37
متن کاملRepresentations of Double Coset Lie Hypergroups
We study the double cosets of a Lie group by a compact Lie subgroup. We show that a Weil formula holds for double coset Lie hypergroups and show that certain representations of the Lie group lift to representations of the double coset Lie hypergroup. We characterize smooth (analytic) vectors of these lifted representations.
متن کاملShubert Varieties and the Fusion Products. the General Case.
This paper generalizes the results of the paper [FF3] to the case of the general sl 2 Shubert varieties. We study the homomorphisms between different Shubert varieties, describe their geometry and the group of the line bundles. We also derive some consequences concerning the infinite-dimensional generalized affine grassmanians.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005