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A basis of identities of the Lie algebra sℓ(2) over a finite field

✍ Scribed by K. N. Semenov


Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
362 KB
Volume
52
Category
Article
ISSN
0001-4346

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A Basis for the Graded Identities of the
✍ Plamen Koshlukov; Sérgio S. Azevedo 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 155 KB

Let K be a finite field of characteristic p > 2, and let M 2 ðKÞ be the matrix algebra of order two over K. We describe up to a graded isomorphism the 2-gradings of M 2 ðKÞ. It turns out that there are only two nonisomorphic nontrivial such gradings. Furthermore, we exhibit finite bases of the grade