User Faisal

189 votes

Why do so many textbooks have so much technical detail and so little enlightenment?

answered Feb 17, 2010 at 21:16

49 votes

"The complex version of Nash's theorem is not true"

answered Mar 27, 2011 at 17:05

34 votes

Accepted

Lie algebra semisimple if and only if perfect?

answered Apr 3, 2011 at 22:13

29 votes

Accepted

Infinite-dimensional normed division algebras

answered Nov 11, 2010 at 7:44

29 votes

Accepted

tr(ab) = tr(ba)?

answered Sep 26, 2011 at 4:13

27 votes

What is the high-concept explanation on why real numbers are useful in number theory?

answered Apr 14, 2011 at 3:30

26 votes

Accepted

Is a reductive adelic group a Type I group?

answered Dec 13, 2012 at 21:08

24 votes

Accepted

History of Koszul complex

answered Oct 30, 2013 at 7:24

24 votes

Accepted

Does every finite nontrivial group have two distinct irreducible representations over the complex numbers of equal degree?

answered Oct 30, 2011 at 2:33

23 votes

Down-To-Earth Uses of de Rham Cohomology to Convince a Wide Audience of its Usefulness

answered Mar 1, 2011 at 20:55

22 votes

What is significant about the half-sum of positive roots?

answered Nov 6, 2011 at 0:11

21 votes

Lie group examples

answered Apr 11, 2011 at 19:20

21 votes

Accepted

Is a domain all of whose localizations are noetherian itself noetherian ?

answered Nov 28, 2012 at 0:46

20 votes

Accepted

Unitary representations of the ax+b group: an accessible presentation

answered Oct 19, 2011 at 7:32

19 votes

Accepted

Generalization of Borsuk-Ulam

answered Apr 9, 2011 at 23:07

19 votes

Suggestions for good notation

answered Oct 20, 2010 at 20:14

18 votes

Is arbitrary union of closed balls in $\mathbb{R}^n$ Lebesgue measurable?

answered Oct 26, 2010 at 22:30

16 votes

Accepted

Maps preserving algebraic numbers

answered Oct 19, 2011 at 3:19

14 votes

Accepted

Complex structure on flag manifolds

answered Sep 8, 2011 at 2:39

14 votes

Accepted

Iwasawa Decomposition & Polar Decomposition related how ?

answered Oct 19, 2010 at 0:29

14 votes

Why study Lie algebras?

answered Mar 17, 2011 at 19:45

14 votes

Is there an analog of determinant for linear operators in infinite dimensions as that of finite dimensions?

answered Apr 4, 2013 at 1:45

13 votes

determinant of the table of characters

answered Oct 13, 2011 at 20:07

13 votes

connected compact semisimple lie group finite fundamental group

answered May 1, 2012 at 14:51

12 votes

A reference for smooth structures on R^n

answered Feb 22, 2010 at 23:20

12 votes

When can number rings be spanned (as $\mathbb{Z}$-modules) by units?

answered Oct 23, 2013 at 15:48

11 votes

Accepted

The biquadratic character of $2$ mod $p$ for a prime of the form $p=4n+1$

answered Aug 20, 2013 at 19:08

11 votes

Accepted

Is SL_n of an order in a number ring finite-index in SL_n of the number ring?

answered Nov 4, 2013 at 20:41

11 votes

Combinatorial equation

answered Oct 24, 2010 at 3:01

11 votes

Accepted

Many p,q-Sylow subgroups

answered Nov 6, 2011 at 19:39

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93 Answers

Why do so many textbooks have so much technical detail and so little enlightenment?

"The complex version of Nash's theorem is not true"

Lie algebra semisimple if and only if perfect?

Infinite-dimensional normed division algebras

tr(ab) = tr(ba)?

What is the high-concept explanation on why real numbers are useful in number theory?

Is a reductive adelic group a Type I group?

History of Koszul complex

Does every finite nontrivial group have two distinct irreducible representations over the complex numbers of equal degree?

Down-To-Earth Uses of de Rham Cohomology to Convince a Wide Audience of its Usefulness

What is significant about the half-sum of positive roots?

Lie group examples

Is a domain all of whose localizations are noetherian itself noetherian ?

Unitary representations of the ax+b group: an accessible presentation

Generalization of Borsuk-Ulam

Suggestions for good notation

Is arbitrary union of closed balls in $\mathbb{R}^n$ Lebesgue measurable?

Maps preserving algebraic numbers

Complex structure on flag manifolds

Iwasawa Decomposition & Polar Decomposition related how ?

Why study Lie algebras?

Is there an analog of determinant for linear operators in infinite dimensions as that of finite dimensions?

determinant of the table of characters

connected compact semisimple lie group finite fundamental group

A reference for smooth structures on R^n

When can number rings be spanned (as $\mathbb{Z}$-modules) by units?

The biquadratic character of $2$ mod $p$ for a prime of the form $p=4n+1$

Is SL_n of an order in a number ring finite-index in SL_n of the number ring?

Combinatorial equation

Many p,q-Sylow subgroups