I'm not sure what you mean by "derive".

For a more mathematical and geometric description of the super Poincaré group in general dimension you could check out

• Freed, Lectures on field theory and supersymmetry (see Lecture 6);
• Freed, Five lectures on supersymmetry, AMS 1999 (see Lecture 3);
• Deligne and Freed, Supersolutions [arXiv:hep-th/9901094] (see Section 1.1), which can also be found in Quantum fields and strings: a course for mathematicians;

and for the 4d case

• Costello, e.g. [arXiv:1401.2676] (see Section 1.1).

I'm not sure what you mean by "derive".

For a more mathematical and geometric description of the super Poincaré group in general dimension you could check out

• Freed, Lectures on field theory and supersymmetry (Lecture 6);
• Freed, Five lectures on supersymmetry, AMS 1999 (Lecture 3);
• Deligne and Freed, Supersolutions [arXiv:hep-th/9901094] (Section 1.1), which can also be found in Quantum fields and strings: a course for mathematicians;

plus the three additional references given for super-Poincaré group at nLab.

For the 4d case see also

• Costello, e.g. [arXiv:1401.2676] (Section 1.1).

I'm not sure what you mean by "derive".

For a more mathematical and geometric description of the super Poincaré group you could check out lecture notes by

• Dan Freed, Lectures on field theory and supersymmetry, see Lecture 6, or
• Kevin Costello, e.g. arXiv:1401.2676, see Section 1.1.

I'm not sure what you mean by "derive".

For a more mathematical and geometric description of the super Poincaré group in general dimension you could check out

• Freed, Lectures on field theory and supersymmetry (see Lecture 6);
• Freed, Five lectures on supersymmetry, AMS 1999 (see Lecture 3);
• Deligne and Freed, Supersolutions [arXiv:hep-th/9901094] (see Section 1.1), which can also be found in Quantum fields and strings: a course for mathematicians;

and for the 4d case

• Costello, e.g. [arXiv:1401.2676] (see Section 1.1).