Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

This question is motivated by the question Subalgebras of matrices and its answer by Mariano. We consider $X_{n,d}$, the variety of $d$-dimensional subalgebras not necessarily with 1 (with 1 makes sense too) in $M_n({\mathbb C})$. What are its irreducible components?

If $d=1$, it is a cute little exercise on Jordan normal forms (please, donate 5 bucks of my royalties to Oxfam if you are to use it on your students). A full answer for $d=2$ will be given full marks here :-))

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.