# Questions tagged [algebra]

Abstract manipulation of symbols. Transforming an algebraic expression into the desired form.

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### Command to find whether ideal is binomial in Mathematica?

Consider the ideal $$I=\left\{p_2 \left(p_3^2-p_4^2\right) \left(p_5 p_6+p_7\right),-\left(p_2 p_3-p_1 p_4\right) \left(p_5 p_6+p_7\right),-\left(p_3+p_4\right) \right\}.$$ Corollary 1.3 gives a ...
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### Mathematica package for computing Macdonald polynomials

I want to implement computation of Macdonald polynomials in mathematica. A similar question was raised in another question 5 years ago (Macdonald-Koornwinder polynomials?), but received no clear ...
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### How do I separate 2 variables to be independent from each other in the equation?

I have an equation namely ...
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### Combinatorica and MultiplicationTable in Mathematica 11

I try to use <<Combinatorica or call IntervalSlider; Needs["Combinatorica`"] or call ...
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### Implement commutativity and associativity for custom operation

Just to give context: I want to implement quantum mechanical ladder operators and for this I want Mathematica to realize when it can just commute my ladder operators with numbers or variables because ...
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### Finding trivial solutions, of the type 0 = 0, of an equation involving su(N) structure constants

so I have a bunch of equations $f_{abc} = f_{egd}m_{ae}m_{bg}m_{cd}$ (sum over repeated indices), where $f_{abc}$ are the structure constants of $su(N)$, for some $N$, and $m_{ab}$ are elements of ...
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### Normalize a complex matrix

I have a complex matrix say, M={{a+bi,c,c,d},{0,a-di,c,d},{d,c,a-di,0},{d,c,c,a+bi}}; Normalize[M] I attempted to normalize this symbolic matrix with Mathematica ...