跳至主要内容

Irreducible Representations of Algebraic Group SL(6,K) in charK =3

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51068#.VFMJamfHRK0

Author(s)
For each irreducible module  Xi Nanhua defined an element which generated this module. We use this element to construct a certain basis for and then compute dim  , determine its formal characters in this paper. In order to obtain faster speed we modify the algorithm to compute the irreducible characters.
Cite this paper
Zhou, Z. (2014) Irreducible Representations of Algebraic Group SL(6,K) in charK =3. Advances in Pure Mathematics, 4, 535-544. doi: 10.4236/apm.2014.410062
 

[1] Gilkey, P.B. and Seitz, G.M. (1988) Some Representations of Exceptional Lie Algebras. Geometriae Dedicata, 25, 407-416. http://dx.doi.org/10.1007/BF00191935
[2] Dowd, M. and Sin, P. (1996) On Representations of Algebraic Groups in Characteristic Two. Communications in Algebra, 24, 2597-2686. http://dx.doi.org/10.1007/BF00191935
[3] http://pi.math.virginia.edu/~lls2l/research_undergrad.htm
[4] http://math.rutgers.edu/~asbuch/dynkin/
[5] Lusztig, G. (1993) Introduction to Quantum Groups. Progress in Mathematics, 110, Birkháuser.
[6] Xi, N.H. (1996) Irreducible Modules of Quantized Enveloping Algebras at Roots of 1. Publ. RIMS, Kyoto Univ, 32, 235-276. http://dx.doi.org/10.2977/prims/1195162964
[7] Xu, B.X. and Ye, J.C. (1997) Irreducible Characters of Algebraic Groups in Characteristic Two (I). Algebra Colloquium, 4, 281-290.
[8] Ye, J.C. and Zhou, Z.G. (2000) Irreducible Characters of Algebraic Groups in Characteristic Two (III). Communications in Algebra, 28, 4227-4247. http://dx.doi.org/10.1080/00927870008827086
[9] Ye, J.C. and Zhou, Z.G. (2001) Irreducible Characters for Algebraic Groups in Characteristic Three. Communications in Algebra, 29, 201-223. http://dx.doi.org/10.1081/AGB-100000795
[10] Ye, J.C. and Zhou, Z.G. (2002) Irreducible Characters for Algebraic Groups in characteristic Three (II). Communications in Algebra, 30, 273-306. http://dx.doi.org/10.1081/AGB-120006491
[11] Jantzen, J.C. (1987) Representations of Algebraic Groups. Academic Press, Orlando.
[12] Andersen, H.H. (1980) The Strong Linkage Principle. Journal fur die Reine und Angewandte Mathematik, 315, 53-59.                     eww141031lx

评论

此博客中的热门博文

Electron Spin and Proton Spin in the Hydrogen and Hydrogen-Like Atomic Systems

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52202#.VIj7tMnQrzE Author(s) Stanisław Olszewski * Affiliation(s) Institute of Physical Chemistry, Polish Academy of Sciences, Warsaw, Poland . ABSTRACT The mechanical angular momentum and magnetic moment of the electron and proton spin have been calculated semiclassically with the aid of the uncertainty principle for energy and time. The spin effects of both kinds of the elementary particles can be expressed in terms of similar formulae. The quantization of the spin motion has been done on the basis of the old quantum theory. It gives a quantum number n = 1/2 as the index of the spin state acceptable for both the electron and proton ...

A Study on the Seismic Isolation Systems of Bridges with Lead Rubber Bearings

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52566#.VJt06cCAM4 Author(s)   Woo-Suk Kim , Dong-Joon Ahn , Jong-Kook Lee Affiliation(s) School of Architecture, Kumoh National Institute of Technology, Gumi, Republic of Korea . ABSTRACT This study consists of the development and presentation of example of seismic isolation system analysis and design for a continuous, 3-span, cast-in-place concrete box girder bridge. It is expected that example is developed for all Lead-Rubber Bearing (LRB) seismic isolation system on piers and abutments which placed in between super-structure and sub-structure. Design forces, displacements, and drifts are given distinctive consideration in...

Effects of Karate Training on Basic Motor Abilities of Primary School Children

“You never attack first in karate” might be the best conclusion of karate, which is a martial art practiced typically without weapons. It’s reported that karate has a long history for several hundred years, but the modern karate was spread to the whole Japan from Okinawa in the early part of 20th century. Now it has become one of the most widely practiced martial art forms in the world. Usually, it’s divided into Kihon, Kata and Kumite. As for the beginners, Kihon is more suitable for them because it involves basic techniques. Due to karate consists of dynamic offensive and defensive techniques using all parts of the body to their maximum advantage, the best understanding of true karate practice is the perfection of oneself through the perfection of the art. It not only develops coordination, quickens reflexes, and builds stamina, but also develops composure, a clearer thought process, deeper insight into one’s mental capabilities, and more self-confidence. So many researchers stu...