Centroids and Quasicentroids of Low Order Special Linear Lie Superalgebras

2022 ◽  
Vol 12 (01) ◽  
pp. 36-40
Author(s):  
晨阳 高
Keyword(s):  
Lie Superalgebras ◽  
Special Linear ◽  
Low Order

scholarly journals Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras

2019 ◽  
Vol 17 (1) ◽  
pp. 1381-1391
Author(s):  
Keli Zheng ◽  
Yongzheng Zhang
Keyword(s):  
Lie Superalgebras ◽  
Arbitrary Field ◽  
Special Linear ◽  
Highest Weight ◽  
Irreducible Modules

Abstract Let 𝔽 be an arbitrary field of characteristic p > 2. In this paper we study irreducible modules with highest weight vectors over Witt and special Lie superalgebras of 𝔽. The same irreducible modules of general and special linear Lie superalgebras, which are the 0-th part of Witt and special Lie superalgebras in certain ℤ-grading, are also considered. Then we establish a certain connection called a P-expansion between these modules.

scholarly journals On Kac–Weisfeiler modules for general and special linear lie superalgebras

2016 ◽  
Vol 214 (1) ◽  
pp. 471-490 ◽  
Author(s):  
Yang Zeng ◽  
Bin Shu
Keyword(s):  
Lie Superalgebras ◽  
Special Linear

scholarly journals Vertex representations of toroidal special linear Lie superalgebras

2015 ◽  
Vol 36 (3) ◽  
pp. 427-436 ◽  
Author(s):  
Naihuan Jing ◽  
Chongbin Xu
Keyword(s):  
Lie Superalgebras ◽  
Special Linear

Serre-type relations for special linear Lie superalgebras

1992 ◽  
Vol 24 (3) ◽  
pp. 173-181 ◽  
Author(s):  
M. Scheunert
Keyword(s):  
Lie Superalgebras ◽  
Special Linear

scholarly journals Relative (pre)-modular categories from special linear Lie superalgebras

2021 ◽  
Author(s):  
Cristina Ana-Maria Anghel ◽  
Nathan Geer ◽  
Bertrand Patureau-Mirand
Keyword(s):  
Lie Superalgebras ◽  
Special Linear

The presentation andqdeformation of special linear Lie superalgebras

1993 ◽  
Vol 34 (8) ◽  
pp. 3780-3808 ◽  
Author(s):  
M. Scheunert
Keyword(s):  
Lie Superalgebras ◽  
Special Linear

the effects of resonance with Jupiter in the system of short-period comets

1974 ◽  
Vol 22 ◽  
pp. 193-203
Author(s):  
L̆ubor Kresák
Keyword(s):  
Structural Effects ◽  
Order Resonance ◽  
Mean Motion ◽  
Short Period ◽  
The Mean ◽  
Compound Effect ◽  
Low Order

AbstractStructural effects of the resonance with the mean motion of Jupiter on the system of short-period comets are discussed. The distribution of mean motions, determined from sets of consecutive perihelion passages of all known periodic comets, reveals a number of gaps associated with low-order resonance; most pronounced are those corresponding to the simplest commensurabilities of 5/2, 2/1, 5/3, 3/2, 1/1 and 1/2. The formation of the gaps is explained by a compound effect of five possible types of behaviour of the comets set into an approximate resonance, ranging from quick passages through the gap to temporary librations avoiding closer approaches to Jupiter. In addition to the comets of almost asteroidal appearance, librating with small amplitudes around the lower resonance ratios (Marsden, 1970b), there is an interesting group of faint diffuse comets librating in characteristic periods of about 200 years, with large amplitudes of about±8% in μ and almost±180° in σ, around the 2/1 resonance gap. This transient type of motion appears to be nearly as frequent as a circulating motion with period of revolution of less than one half that of Jupiter. The temporary members of this group are characteristic not only by their appearance but also by rather peculiar discovery conditions.

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