Songpon Sriwongsa

activity

20152026

most citedOrthogonal abelian Cartan subalgebra decomposition of

sl_{n}

over a finite commutative ring

4 citations · 8 across the 15 of their papers we have counts for

collaborators

19 papers

cs.IT2026

Compressed sensing matrices from orthogonal spaces over finite fields of odd characteristic

Kanittakorn Moonchaisook, Poom Kumam, Songpon Sriwongsa

In this paper, we construct deterministic matrices from subspaces of orthogonal spaces over finite fields of odd characteristic and investigate their applicability to compressed se…

math.CO2026

Quantum fractional revival on zero-divisor graphs over $Z_{n}$

Bui Phuoc Minh, Songpon Sriwongsa

In this paper, we characterize the existence of perfect state transfer (PST) and fractional revival in continuous-time quantum walks on the zero-divisor graph $Γ (Z_{n})$ . By…

math.NT2026

Arithmetic exceptionality of Lattès maps

Chatchawan Panraksa, Detchat Samart, Songpon Sriwongsa

Let $F_{q}$ denote a finite field of order $q$ . A rational function $r (x) \in Q (x)$ is said to be arithmetically exceptional if it induces a permutation on $\mathbb{…

math.RA2025

On solvable Lie algebras of small breadth

Borworn Khuhirun, Korkeat Korkeathikhun, Songpon Sriwongsa +1

The concept of breadth has been used in the classification of p-groups and nilpotent Lie algebras. In this paper, we investigate this notion for finite-dimensional solvable Lie alg…

math.RA2025

Non-commuting graphs of projective spaces over central quotients of Lie algebras

Songpon Sriwongsa

Let $L$ be a finite-dimensional non-abelian Lie algebra with the center $Z (L)$ . In this paper, we define a non-commuting graph associated with $L$ as the graph whose vertex set is…

math.RA2025

Quantum fractional revival on unitary Cayley graphs over finite commutative rings

Saowalak Jitngam, Poom Kumam, Songpon Sriwongsa

In this paper, we investigate the existence of quantum fractional revival in unitary Cayley graphs over finite commutative rings with identity. We characterize all finite local rin…

math.RA2024★ 1 cited

Classical orthogonal decomposition of a modular $sl_{n}$

Yotsanan Meemark, Songpon Sriwongsa

An orthogonal decomposition problem of Lie algebras over the complex numbers has been studied since the 1980s. It has many applications and relations to other areas of mathematics…

math.RT2023

More on characteristic polynomials of Lie algebras

Korkeat Korkeathikhun, Borworn Khuhirun, Songpon Sriwongsa +1

In recent years, the notion of characteristic polynomial of representations of Lie algebras has been widely studied. This paper provides more properties of these characteristic pol…

math.NT2023

A dynamical system proof of Niven's theorem and its extensions

Chatchawan Panraksa, Detchat Samart, Songpon Sriwongsa

Niven's theorem asserts that ${cos (r π) ∣ r \in Q} \cap Q = {0, \pm 1, \pm 1/2} .$ In this paper, we use elementary techniques and results from arithmetic dynamic…

math.RA2022

On Automorphism Groups of Idempotent Evolution Algebras

Songpon Sriwongsa, Yi Ming Zou

We study the automorphism group of an idempotent evolution algebra, show that any finite group can be the automorphism group of an evolution algebra, and describe certain evolution…

math.CO2021

Quasi-strongly regular graphs of grade three with diameter two

Songpon Sriwongsa, Pawaton Kaemawichanurat

A quasi-strongly regular graph of grade $p$ with parameters $(n, k, a; c_{1}, \dots, c_{p})$ is a $k$ -regular graph of order $n$ such that any two adjacent vertices share $a$ common n…

math.RT2020

Hilbert series of typical representations for Lie superalgebras

Alexander Heaton, Songpon Sriwongsa

Let g be a basic classical Lie superalgebra over C. In the case of a typical weight whose every nonnegative integer multiple is also typical, we compute a closed form for the Hilbe…

math.RA2019

Maximal orthogonal sets of unimodular vectors over finite local rings of odd characteristic

Songpon Sriwongsa, Siripong Sirisuk

Let $R$ be a finite local ring of odd characteristic and $β$ a non-degenerate symmetric bilinear form on $R^{2}$ . In this short note, we determine the largest possible cardinality of…

math.GM2019★ 1 cited

The triangle inequality for graded real vector spaces

Songpon Sriwongsa, Keng Wiboonton

In this paper, we prove that a natural candidate for a homogeneous norm on a graded Lie algebra of any length satisfies the triangle inequality which answers Moskowitz's question.

math.RA2019

Orthogonal decompositions of classical Lie algebras over finite commutative rings

Songpon Sriwongsa

Let $R$ be a finite commutative ring with identity. In this paper, we give a necessary condition for the existence of an orthogonal decomposition of the special linear Lie algebra…

math.CO2019

Orthogonal graphs modulo power of 2

Songpon Sriwongsa

In this work, we define an orthogonal graph on the set of equivalence classes of $(2 ν + δ) -$ tuples over $Z_{2^{n}}$ where $n$ and $ν$ are positive integers and $δ = 0, 1$ or $…

math.RT2018

Branching from the General Linear Group to the Symmetric Group and the Principal Embedding

Alexander Heaton, Songpon Sriwongsa, Jeb F. Willenbring

Let S be a principally embedded sl_2 subalgebra in sl_n for n > 2. A special case of results of the third author and Gregg Zuckerman implies that there exists a positive integer b(…

math.RA2018★ 4 cited

Orthogonal abelian Cartan subalgebra decomposition of $sl_{n}$ over a finite commutative ring

Songpon Sriwongsa, Yi Ming Zou

Orthogonal decomposition of the special linear Lie algebra over the complex numbers was studied in the early 1980s and attracted further attentions in the past decade due to its ap…

math.NT2015★ 2 cited

Cogredient Standard Forms of Orthogonal Matrices over Finite Local Rings of Odd Characteristic

Yotsanan Meemark, Songpon Sriwongsa

In this work, we present a cogredient standard form of an orthogonal space over a finite local ring of odd characteristic.

Compressed sensing matrices from orthogonal spaces over finite fields of odd characteristic

Quantum fractional revival on zero-divisor graphs over Zn​

Arithmetic exceptionality of Lattès maps

On solvable Lie algebras of small breadth

Non-commuting graphs of projective spaces over central quotients of Lie algebras

Quantum fractional revival on unitary Cayley graphs over finite commutative rings

Classical orthogonal decomposition of a modular sln​

More on characteristic polynomials of Lie algebras

A dynamical system proof of Niven's theorem and its extensions

On Automorphism Groups of Idempotent Evolution Algebras

Quasi-strongly regular graphs of grade three with diameter two

Hilbert series of typical representations for Lie superalgebras

Maximal orthogonal sets of unimodular vectors over finite local rings of odd characteristic

The triangle inequality for graded real vector spaces

Orthogonal decompositions of classical Lie algebras over finite commutative rings

Orthogonal graphs modulo power of 2

Branching from the General Linear Group to the Symmetric Group and the Principal Embedding

Orthogonal abelian Cartan subalgebra decomposition of sln​ over a finite commutative ring

Cogredient Standard Forms of Orthogonal Matrices over Finite Local Rings of Odd Characteristic

Quantum fractional revival on zero-divisor graphs over $Z_{n}$

Classical orthogonal decomposition of a modular $sl_{n}$

Orthogonal abelian Cartan subalgebra decomposition of $sl_{n}$ over a finite commutative ring