Seaweed algebras and the index statistic for partitions
W Craig - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
Abstract In 2018 Coll, Mayers, and Mayers conjectured that the q-series (q,− q 3; q 4)∞− 1 is
the generating function for a certain parity statistic related to the index of seaweed algebras …
the generating function for a certain parity statistic related to the index of seaweed algebras …
Nonmodular infinite products and a conjecture of Seo and Yee
S Chern - Advances in Mathematics, 2023 - Elsevier
We will tackle a conjecture of S. Seo and AJ Yee, which says that the series expansion of
1/(q,− q 3; q 4)∞ has nonnegative coefficients. Our approach relies on an approximation of …
1/(q,− q 3; q 4)∞ has nonnegative coefficients. Our approach relies on an approximation of …
Index of seaweed algebras and integer partitions
S Seo, AJ Yee - arXiv preprint arXiv:1910.14369, 2019 - arxiv.org
The index of a Lie algebra is an important algebraic invariant. In 2000, Vladimir Dergachev
and Alexandre Kirillov defined seaweed subalgebras of $\mathfrak {gl} _n $(or $\mathfrak …
and Alexandre Kirillov defined seaweed subalgebras of $\mathfrak {gl} _n $(or $\mathfrak …
Proof of Merca's stronger conjecture on truncated Jacobi triple product series
X Ding, LH Sun - arXiv preprint arXiv:2411.13818, 2024 - arxiv.org
The truncated series start off with Andrews and Merca's truncated version of Euler's
pentagonal number theorem in 2012. Moreover, Andrews--Merca and Guo--Zeng …
pentagonal number theorem in 2012. Moreover, Andrews--Merca and Guo--Zeng …
On the coefficients of -series and modular forms
W Craig - arXiv preprint arXiv:2211.05072, 2022 - arxiv.org
In this Ph. D dissertation (University of Virginia, 2022), we prove results about the
coefficients of partition-theoretic generating functions and of coefficients of integer weight …
coefficients of partition-theoretic generating functions and of coefficients of integer weight …
Seaweeds Arising from Brauer Configuration Algebras
AM Cañadas, OM Mendez - Mathematics, 2023 - mdpi.com
Seaweeds or seaweed Lie algebras are subalgebras of the full-matrix algebra Mat (n)
introduced by Dergachev and Kirillov to give an example of algebras for which it is possible …
introduced by Dergachev and Kirillov to give an example of algebras for which it is possible …
[PDF][PDF] PERIODICITY AND THE INDEX OF INTEGER PARTITIONS.
NW Mayers - … : Electronic Journal of Combinatorial Number Theory, 2023 - math.colgate.edu
Seaweed subalgebras of sl (n), referred to here simply as seaweed algebras, are defined by
an ordered pair of compositions of n. The index theory of these algebras has recently been …
an ordered pair of compositions of n. The index theory of these algebras has recently been …
[图书][B] The World of P and Q: Congruences, Identities and Asymptotics
X Chen - 2021 - search.proquest.com
The Pennsylvania State University The Graduate School THE WORLD OF P AND Q:
CONGRUENCES, IDENTITIES AND ASYMPTOTICS A Dissertati Page 1 The Pennsylvania State …
CONGRUENCES, IDENTITIES AND ASYMPTOTICS A Dissertati Page 1 The Pennsylvania State …