अलघुकरणीय इसके अंग्रेजी अर्थ का उदाहरण

Nevertheless, particles can indeed be neatly divided into groups that form irreducible representations of the Lie algebra SU(3), as first noted by Murray Gell-Mann and independently by Yuval Ne'eman.

Then this gives a canonical decomposition of any irreducible representation of Gn to one-dimensional subrepresentations.

Khersonski, Quantum theory of angular momentum: irreducible tensors, spherical harmonics, vector coupling coefficients, 3nj symbols, 1988, Singapore: World Scientific Publications.

From the general theory of algebraic stacks, this implies the stack quotient \mathcal{M}_g is irreducible.

For each absolutely irreducible polynomial f\in K[T_1,T_2,\cdots ,T_r,X] with \frac{\partial f}{\partial X}\not 0 and for each nonzero g\in K[T_1,T_2,\cdots ,T_r] there exists (\textbf{a},b)\in K^{r+1} such that f(\textbf{a},b)0 and g(\textbf{a})\not 0.

GP2) For any irreducible admissible representation π of G we have \dim \mathrm{Hom}_K(\pi, \mathbf{C}) \cdot \dim \mathrm{Hom}_K(\tilde{\pi}, \mathbf{C}) \leq 1, where \tilde{\pi} denotes the smooth dual.

In particular, in a Bézout domain, irreducibles are prime (but as the algebraic integer example shows, they need not exist).

(E) A closed irreducible subset of Xm, of dimension r, when intersected with a diagonal subset in which s coordinates are set equal, has all components of dimension at least r "minus; s + 1.

Consider the modules M\Complex [x,y,z]/(f),N\Complex [x,y,z]/(g) for f,g\in \Complex[x,y,z] irreducible polynomials such that \gcd(f,g)1.

An indecomposable continuum is irreducible between any two of its points.

This curve has self-intersection number −n, and is the only irreducible curve with negative self intersection number.

If a Markov chain is irreducible then it has a stationary distribution if and only if it is positive recurrent, in which case the unique such distribution is given by \pi_i\frac{1}{M_i} where M_i\mathbb{E}(T_i) is the mean recurrence time of i.

The nilpotent cone is an irreducible subvariety of \mathfrak{g} (considered as a vector space).