Results 101 to 110 of about 44,436 (212)
Depression and substance use disorder are difficult to treat, prompting interest in psychedelics like DMT, though its neural mechanisms remain unclear. This ex vivo study examined acute DMT effects on electrophysiology in male and female Ih‐negative neurons of the mouse ventral tegmental area (VTA). Low‐dose DMT (500 nM) had no effect, whereas a higher
Jannik Nicklas Eliasen +3 more
wiley +1 more source
Boundary Solutions of the Classical Yang--Baxter Equation
We define a new class of unitary solutions to the classical Yang-Baxter equation (CYBE). These ``boundary solutions'' are those which lie in the closure of the space of unitary solutions to the modified classical Yang-Baxter equation (MCYBE). Using the Belavin-Drinfel'd classification of the solutions to the MCYBE, we are able to exhibit new families ...
Gerstenhaber, M., Giaquinto, A.
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Knot theory and its applications [PDF]
Nella tesi verranno presi in considerazione tre aspetti: si descriverà come la teoria dei nodi si sia sviluppata nel corso degli anni in relazione alle diverse scoperte scientifiche avvenute.
Patone, Martina
core
Subprime solutions of the classical Yang–Baxter equation [PDF]
16 pages, v2 includes proofs of Lemmas 4.2 and 4.3, to appear in Journal of ...
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Rota–Baxter Operators on Dihedral and Alternating Groups [PDF]
Rota–Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang–Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota–Baxter operator on a group was defined by L.
Alexey Galt, Vsevolod Gubarev
doaj +1 more source
Solving the Yang-Baxter Matrix Equation
The Yang-Baxter equation is one that has been widely used and studied in areas such as statistical mechanics, braid groups, knot theory, and quantum mechanics.
Jennings, Mallory O
core
This manuscript presents set-theoretical solutions to the Yang–Baxter equation within the framework of GE-algebras by constructing mappings that satisfy the braid condition and exploring the algebraic properties of GE-algebras.
Ibrahim Senturk +5 more
doaj +1 more source
Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices
Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota-Baxter operators (of weight zero) on the 3-dimensional Lie algebras g.
Linli Wu, Mengping Wang, Yongsheng Cheng
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An Examination of the Yang-Baxter Equation
The Yang-Baxter equation has been extensively studied due to its application in numerous fields of mathematics and physics. This thesis sets out to analyze the equation from the viewpoint of the algebraic product of matrices, i.e., the composition of ...
Cibotarica, Alexandru
core
On solutions to the twisted Yang-Baxter equation
9 pages (Minor misprints are corrected. Published in Zap.nauch.semin. POMI 215 (1994))
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