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Jake
  • Member for 9 years, 11 months
  • Last seen more than a month ago
5 votes
1 answer
223 views

How can the generators of subalgebra $\mathfrak g^{\sigma}$ of $\sigma$-stable elements be expressed through generators of Lie algebra $\mathfrak g$?

3 votes
2 answers
690 views

How to upgrade Category Theory skills for Algebraic Geometry?

3 votes
1 answer
233 views

How to find coefficients in Lie bracket relations in Cartan-Weyl basis?

2 votes
1 answer
102 views

How to show that $\mathfrak{m}/\mathfrak{m}^{2}\rightarrow\mathfrak{m}A_{\mathfrak{m}}/\mathfrak{m}^{2}A_{\mathfrak{m}}$ is an isomorphism?

2 votes
1 answer
86 views

Why is the functor $S\mapsto\prod_{1\leq j\leq k}\mathcal{O}_{S}^{n}\left(S\right)$ representable by this scheme?

1 vote
1 answer
403 views

How to find the multiplicity of weight in a Verma module?

1 vote
1 answer
716 views

Why can schemes of finite type over $\mathrm{Spec}\left(k\right)$ be considered to be affine?

1 vote
1 answer
92 views

What is a good way to compactly write that a number is an integer between a and b?

1 vote
0 answers
39 views

Is there a computationally efficient way to find the part of a vector, which is of certain order in independent variable x?

1 vote
0 answers
45 views

Is there any standard procedure to properly define a composite metric?

1 vote
0 answers
74 views

How to tackle a research journal - level course in Lie Theory and Representation Theory?

1 vote
1 answer
783 views

How to determine the number of roots and the dimension of a Lie algebra using Cartan matrix

1 vote
1 answer
999 views

What is a natural exact sequence?

1 vote
1 answer
198 views

How can the existence of this expression with Cartan matrix be shown using Killing form?

1 vote
0 answers
36 views

Where does the $-k\delta$ part of the expression for weights come from?

1 vote
0 answers
53 views

What are the applications of quantum shuffle multiplication?

0 votes
0 answers
388 views

How to estimate the error of a numerical solution of the Laplace equation?

0 votes
1 answer
77 views

How to prove that $\mathrm{Proj}\left(B/J\right)$ is isomorphic to $\mathrm{Proj}\left(A/J\right)$ if $I\subset J$?

0 votes
1 answer
144 views

How to prove that expansivity is a topological property in a compact space?

0 votes
1 answer
84 views

How to find the character of $\mathfrak{U}\left(\mathfrak{n}_{-}\right)$?

0 votes
0 answers
84 views

What is $\Lambda^{i}$ in the "Show that the highest weight of $\Lambda^{i}V $ is $\omega_{i}"$?

0 votes
0 answers
176 views

What is a Serre presentation of a Lie algebra?

0 votes
1 answer
94 views

How is this method of finding a maximal ideal specific to finite algebras over a field?

0 votes
1 answer
32 views

What would be a standard framework, terminology, or procedure for extending function domains using isomorphisms?

0 votes
0 answers
104 views

What is the meaning of this notation in algebraic geometry (from /): $k\left[x_{1},\ldots,x_{r}\right]\mathbf{/\left(f_{1},\ldots,f_{r}\right)}$?

0 votes
0 answers
65 views

Is there a standard symbol that denotes the set of relational operators

0 votes
0 answers
59 views

How can be a conservative field constraint be efficiently implemented in a continuous optimization problem?

0 votes
1 answer
47 views

How to show that there is a natural isomorphism of rings $k\left(s\right)\otimes_{k}k\left(t\right)=S^{-1}\left(k\left(s\right)\left[t\right]\right)$?

0 votes
1 answer
31 views

What exactly is $k\left(T_{n}\right)_{n\in\mathbb{N}}$?

0 votes
1 answer
58 views

How to prove that a morphism of schemes preserves the surjectivity of ring endomorphisms?