Splitting Borel Subalgebras of $$\mathfrak {sl} (\infty )$$ , $$\mathfrak {o}(\infty )$$ , $$\mathfrak {sp}(\infty )$$ and Generalized Flags

Author:

Penkov Ivan,Hoyt Crystal

Publisher

Springer International Publishing

Reference5 articles.

1. Baranov, A.: Finitary simple Lie algebras. J. Algebra 219, 299–329 (1999).

2. Dimitrov, I., Penkov, I.: Weight modules of direct limit Lie algebras. Int. Math. Res. Not. IMRN 5, 223–249 (2000).

3. Dimitrov, I., Penkov, I.: Borel subalgebras of $$\mathfrak {gl}(\infty )$$ . Resenhas IME-USP 6, 111–119 (2004).

4. Dimitrov, I., Penkov, I.: Locally semisimple and maximal subalgebras of the finitary Lie algebras $$\mathfrak {gl}(\infty )$$ , $$\mathfrak {sl}(\infty )$$ , $$\mathfrak {o}(\infty )$$ , and $$\mathfrak {sp}(\infty )$$ . Journ. of Algebra 322, 2069–2081 (2009).

5. Penkov, I., Serganova, V.: Large annihilator category $$\mathcal {O}$$ for $$\mathfrak {sl}(\infty ),\mathfrak {o}(\infty ), \mathfrak {sp}(\infty )$$ . J. Algebra 532, 249–279 (2019).

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