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Geometric versus automorphic correspondence for vertex operator algebra modules
We propose geometric and automorphic sides of a general correspondence for vertex operator algebras and review supporting examples.
Pure mathematics
- 2018 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Special n-forms on a 2n-dimensional vector space
The configuration of regular 3-forms in dimension 6 is generalized to n-forms in dimension 2n. The algebras of paracomplex, and dual numbers are systematically used. The automorphism groups of all forms are determi...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Constructions of Commutative Automorphic Loops
A loop whose inner mappings are automorphisms is an automorphic loop (or A-loop). We characterize commutative A-lopps with middle nucleus of index 2 and solve the isomorphism problem. Using this characterization and certain central ...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Manifolds admitting stable forms
In this note we give a direct method to classify all stable forms on Rn as well to determine their automorphism groups. We show that in dimensions 6, 7, 8 stable forms coincide with non-degenerate forms. We present...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Nilpotency in automorphic loops of prime power order
A loop is automorphic if its inner mappings are automorphisms. Using so-called associated operations, we show that every commutative automorphic loop of odd prime power order is centrally nilpotent. Starting with anisotropi...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Local symmetries of finite type hypersurfaces in C^2.
that, with the exception of hypersurfaces of the form v = |z|^k local automorphisms are alwaysThe paper gives a complete description of local automorphism groups for Levi forms which allow to decide effectively ab...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Towards automorphic to differential correspondence for vertex algebras
In these notes we propose a version of geometric correspondence between parameter spaces for projectively flat connections in vector bundles and automorphic representations of modular groups over Riemann surfaces. Principal role of vertex al...
BA - Obecná matematika
- 2015 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Classification of 9-dimensional trilinear alternating forms over GF(2)
of forms, we computed their groups of automorphisms. There are 31 degenerate and 317 nondegenerate forms. We point out some forms with either small or large automorphism group. a trilinear alternating
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Automorphisms of Submanifolds
The paper deals with local symmetries of the infinite-order jet space of C^infty-smooth n-dimensional submanifolds in R^{m+n}. Transformations under consideration are the most general possible. They need not preserve the distinction between dependent...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in C-2
We solve the local equivalence problem for ruled hypersurfaces in C-2 at a point of infinite type by giving a normal form. We describe all ruled hypersurfaces which admit nonlinear symmetries and give their complete characterization accordin...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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