Zobrazeno 1 - 10
of 7 233
pro vyhledávání: '"Kang, Seok"'
We categorify the quantum Borcherds-Bozec algebras by constructing their associated Khovanov-Lauda-Rouquier algebras.
Externí odkaz:
http://arxiv.org/abs/2406.18378
In this paper, we develop the perfect basis theory for quantum Borcherds-Bozec algebras $U_{q}(\mathfrak g)$ and their irreducible highest weight modules $V(\lambda)$. We show that the lower perfect graph (resp. upper perfect graph) of every lower pe
Externí odkaz:
http://arxiv.org/abs/2405.05666
Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal $B(\lambda)$ for the quantum affine algebras of types $A^{(2)}_{2n}$, $D^{(2)}_{n+1}$, $A^{(2)}_{2n-1}$, $D^{(1)}_n$, $B^{(1)}_n$ and $C^
Externí odkaz:
http://arxiv.org/abs/2403.11055
Autor:
Jeon, Hokyun, You, Seng Chan, Kang, Seok Yun, Seo, Seung In, Warner, Jeremy L, Belenkaya, Rimma, Park, Rae Woong
Publikováno v:
JMIR Medical Informatics, Vol 9, Iss 4, p e25035 (2021)
BackgroundAccurate and rapid clinical decisions based on real-world evidence are essential for patients with cancer. However, the complexity of chemotherapy regimens for cancer impedes retrospective research that uses observational health databases.
Externí odkaz:
https://doaj.org/article/c05785f24a7f4b3c9f79eab2a41b8393
In this paper we construct Young wall models for the level $1$ highest weight and Fock space crystals of quantum affine algebras in types $E_6^{(2)}$ and $F_4^{(1)}$. Our starting point in each case is a combinatorial realization for a certain level
Externí odkaz:
http://arxiv.org/abs/2402.15829
We present and prove the Weyl-Kac type character formula for the irreducible highest weight modules over Borcherds-Bozec superalgebras with dominant integral highest weights.
Externí odkaz:
http://arxiv.org/abs/2401.15627
Since wearable linkage mechanisms could control the moment transmission from actuator(s) to wearers, they can help ensure that even low-cost wearable systems provide advanced functionality tailored to users' needs. For example, if a hip mechanism tra
Externí odkaz:
http://arxiv.org/abs/2308.11018
Autor:
Jae-Rang Youn, Min-Jae Kim, Ki Cheol Kim, Mincheol Kim, Taesung Jung, Kang-Seok Go, Sang Goo Jeon, Woohyun Kim
Publikováno v:
Fuel Processing Technology, Vol 263, Iss , Pp 108130- (2024)
The catalytic decomposition of methane (CDM) is a hydrogen and nanostructured carbon production process with minimal CO2 emission. Among the transition metal-based catalysts (e.g. Ni, Fe, Co, etc.), Ni-based catalysts are most widely studied due to t
Externí odkaz:
https://doaj.org/article/bd47c358797e40c3aa0c4fd05e84cc6d
With the help of path realization and affine energy function, we give a Young wall construction of level-1 highest weight crystals $B(\lambda)$ over $U_{q}(G_{2}^{(1)})$ and $U_{q}(D_{4}^{(3)})$. Our construction is based on four different shapes of
Externí odkaz:
http://arxiv.org/abs/2211.07106
Let $U_{q}^{-}(\mathfrak g)$ be the negative half of a quantum Borcherds-Bozec algebra $U_{q}(\mathfrak g)$ and $V(\lambda)$ be the irreducible highest weight module with $\lambda \in P^{+}$. In this paper, we investigate the structures, properties a
Externí odkaz:
http://arxiv.org/abs/2211.02859