Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Matthew Krauel"'
Publikováno v:
Transactions of the American Mathematical Society
We establish precise Zhu reduction formulas for Jacobi $n$-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly regular vertex operator al
Autor:
Michelle Norris, Matthew Krauel, Caitlin Esgana, Jennifer Lundmark, Vincent Pigno, Corey Shanbrom
The Peer Assisted Learning program at Sacramento State University (PAL) was established in 2012 with one section supporting introductory chemistry. It now serves 17 gatekeeper courses in Biology, Chemistry, Mathematics, Physics, and Statistics, enrol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::542567028a979b096108f5776917a80c
https://doi.org/10.1101/2021.06.07.447443
https://doi.org/10.1101/2021.06.07.447443
Publikováno v:
Contemporary Mathematics ISBN: 9781470449384
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38a71999870c5fdfcfc32fb313c25e84
https://doi.org/10.1090/conm/753
https://doi.org/10.1090/conm/753
Publikováno v:
Pacific Journal of Mathematics. 296:321-340
Length spectra for Riemannian metrics are well studied, while sub-Riemannian length spectra have been largely unexplored. Here we give the length spectrum for a canonical sub-Riemannian structure attached to any compact Lie group by restricting its K
Autor:
Matthew Krauel, Christopher Marks
Using the language of vertex operator algebras (VOAs) and vector-valued modular forms we study the modular group representations and spaces of 1-point functions associated to intertwining operators for Virasoro minimal model VOAs. We examine all repr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a35d6a4e2e211ba61990487af298172e
http://arxiv.org/abs/1612.02134
http://arxiv.org/abs/1612.02134
Autor:
Matthew Krauel
One-point theta functions for modules of vertex operator algebras (VOAs) are defined and studied. These functions are a generalization of the character theta functions studied by Miyamoto and are deviations of the classical one-point functions for mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ffe1f3dd9bc638ebd901775f8f9d6a7
In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of $q$-series related to the $q$-hypergeometric series $\sigma$ from Ramanajun's lost notebook. Our results parallel a theorem of Cohen which says that $\sigma$, along with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af98b97a0a2c57c486613688dcc25dc5
http://arxiv.org/abs/1512.04452
http://arxiv.org/abs/1512.04452
Autor:
Masahiko Miyamoto, Matthew Krauel
We prove an $\text{SL}_2 (\mathbb{Z})$-invariance property of multivariable trace functions on modules for a regular VOA. Applying this result, we provide a proof of the inversion transformation formula for Siegel theta series. As another application
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a817ea7d6ab4eec353e240654bfc765
Autor:
Geoffrey Mason, Matthew Krauel
We describe a type of n-point function associated to strongly regular vertex operator algebras V and their irreducible modules. Transformation laws with respect to the Jacobi group are developed for 1-point functions. For certain elements in V, the f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64fa519d37502e33946267f0369b3187
Autor:
Matthew Krauel, Geoffrey Mason
Publikováno v:
International Journal of Mathematics. 23:1250024
Let V be a strongly regular vertex operator algebra. For a state h ∈ V1 satisfying appropriate integrality conditions, we prove that the space spanned by the trace functions Tr M qL(0)-c/24ζh(0) (M a V-module) is a vector-valued weak Jacobi form o