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Algorithmic computations of Lie algebra cohomologies
Lie algebra cohomologies.
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A real analog of Kostant's version of the Bott-Borel-Weil theorem
The famous Kostant's result from 60' describes the cohomology of a nilpotent part of a complex semisimple Lie algebra with coefficients in a representation of this semisimple Lie algebra. Our article provides a real version of this result. The main p...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A Borel–Weil Theorem for the Irreducible Quantum Flag Manifolds
We establish a noncommutative generalisation of the Borel–Weil theorem for the Heckenberger–Kolb calculi of the irreducible quantum flag manifolds Oq(G/LS), generalising previous work for the quantum Grassmannians Oq(Grn,m...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Borel-Weil theorem for the quantum Grassmannians
We establish a noncommutative generalisation of the Borel–Weil theorem for the celebrated Heckenberger–Kolb calculi of the quantum Grassmannians. The result is formulated in the framework of quantum principal bundles and no...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Borel-Weil theorem for the quantum Grassmannians
We establish a noncommutative generalisation of the Borel–Weil theorem for the celebrated Heckenberger–Kolb calculi of the quantum Grassmannians. The result is formulated in the framework of quantum principal bundles and no...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Borel-Weil theorem for the irreducible quantum flag manifolds
We establish a noncommutative generalisation of the Borel-Weil theorem for the Heckenberger-Kolb calculi of the irreducible quantum f lag manifolds O (q)(G/L-S), generalising previous work for the quantum Grassmannians O (q...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On a theorem of Borel on diophantine approximation
A theorem of É. Borel’s asserts that one of any three consecutive convergents of a real number a, satisfies the special inequality with C. In this paper we give more precise information about the constant C....
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Extensions of Borel measurable maps and ranges of Borel bimeasurable maps
We prove an abstract version of Kuratowski extension theorem for Borel measurable maps and we study ranges of not necessarily injective Borel bimeasurable maps....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Borel sets with countable sections for nonseparable spaces
A nonseparable version of Luzin-Novikov's theorem is proved.
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Deformation quantization and Borel´s theorem
We show that any star product equivalent to the Berezin-Toeplitz one can be obtained from a suitable operator calculus. The proof uses in an essential way the theory of locally convex spaces....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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